Here are the questions I need help with, please help.
[(1/4)^-3 divide sign (1/4)^2]^-2
I got (1/4)^10 but I got it wrong
(3^1/2)^3
_______ I got 1/216
9
(-56r^2)divide sign (-7r^2)= I got 8r
x(y)(x)(2y)
(12) (10xy^3) (3x^2y^2) (5x) (2y)
simplify sqaure root of 160000
simplify sqaure root of 0.04
simplify 3 * square root 81
simplify square root of 900
simplify square root of 0.0025simplify [(a^2bc^4)(ab^3c^2)]^2
___________________
(b^2c^5)^3
what is 4^-5/2 expressed as a radical with positive exponents
Thank you so much
((1/4)^-3/(1/4)^2)^-2 =
((1/4)^-5)^-2 = (1/4)^10 = 9.54*10^-7
(3^1/2)^3 = 3^(3/2) = 5.196.
-56r^2/-7r^2 = 8.
x*y*x*2y = 2X^2Y^2
3600X^4Y^6.
sqrt(16*10^4) = 4*10^2 = 400.
sqrt means Square root.
sqrt(0.04) = sqrt(4*10^-2) = 2*10^-1 =
0.20
3*sqrt(81) = 3*9 = 27
sqrt(900) = sqrt(9*10^2) = 3*10 = 30
sqrt(0.0025) = sqrt(25*10^-4) = 5*10^-2=
0.05
4^(-5/2) = 4^(-1/2)^)5 = 1/(4^(1/2)5 =
1/sqrt(4)^5
I can not remember the rules and how to do the problems
Square of 200 ...simplified
Square root of 7/16 -simplified
Sure, I'll be happy to help you with these questions. Let's go through each question one by one.
1) To simplify [(1/4)^-3 / (1/4)^2]^-2, we can start by simplifying the expression within the brackets: (1/4)^-3 / (1/4)^2.
When dividing two exponents with the same base, we subtract the exponents. So, (1/4)^-3 / (1/4)^2 can be simplified as (1/4)^(-3-2), which is equal to (1/4)^-5.
To simplify further, we know that any non-zero number raised to the power of -n is equal to 1 divided by the number raised to the power of n. Therefore, (1/4)^-5 is equal to 1 / (1/4)^5.
Now, to simplify (1/4)^5, we multiply the exponents: (1/4)^5 = 1^5 / 4^5 = 1/1024.
Finally, we have 1 / (1/1024) = 1 * 1024/1 = 1024.
So, the final answer is 1024.
2) For (3^1/2)^3 / 9, we need to simplify the expression within the brackets first.
(3^1/2)^3 means taking the square root of 3, and then raising it to the power of 3. The square root of 3 is approximately 1.732.
Now, we have (1.732)^3 / 9. Calculating, (1.732)^3 is approximately 5.382.
So, we have 5.382 / 9, which simplifies to approximately 0.598.
Therefore, the final answer is 0.598.
3) To simplify (-56r^2) / (-7r^2), we can divide the coefficients and divide the variables separately.
The coefficient division gives us: -56 / -7 = 8.
Now, dividing the variables, we have r^2 / r^2 = 1.
Therefore, the simplified expression is 8.
4) For x(y)(x)(2y), we can combine the like terms.
Multiplying the x terms, we get x * x = x^2.
Multiplying the y terms, we get y * y = y^2.
Finally, multiplying all the remaining coefficients, we have 1 * 1 * 2 = 2.
So, the simplified expression is 2x^2y^2.
5) For (12)(10xy^3)(3x^2y^2)(5x)(2y), we can multiply all the coefficients together and combine the variables.
Multiplying the coefficients: 12 * 10 * 3 * 5 * 2 = 3600.
Now, multiplying the x variables, we have x * x^2 * x * x = x^4.
Multiplying the y variables: y^3 * y^2 * y = y^6.
So, the simplified expression is 3600x^4y^6.
6) To simplify the square root of 160000, we can factorize the number under the square root sign.
160000 = 16 * 10000 = 16 * (100 * 100) = 16 * 100^2.
Taking the square root of each factor separately, we have sqrt(16) * sqrt(100^2) = 4 * 100 = 400.
Therefore, the square root of 160000 is 400.
7) To simplify the square root of 0.04, we can write the number as a fraction.
0.04 = 4/100 = 4 * (1/10)^2.
Taking the square root of each factor separately, we have sqrt(4) * sqrt((1/10)^2) = 2 * 1/10 = 1/5.
Therefore, the square root of 0.04 is 1/5.
8) For 3 * square root of 81, we can simplify the square root of 81 first.
The square root of 81 is 9.
So, we have 3 * 9 = 27.
Therefore, the simplified expression is 27.
9) To simplify the square root of 900, we can factorize the number under the square root sign.
900 = 100 * 9 = 100 * (3^2).
Taking the square root of each factor separately, we have sqrt(100) * sqrt(3^2) = 10 * 3 = 30.
Therefore, the square root of 900 is 30.
10) For the square root of 0.0025, we can write the number as a fraction.
0.0025 = 25/10000 = 5^2 / 100^2 = (5/100)^2.
Taking the square root of each factor separately, we have sqrt(5/100)^2 = 5/100 = 1/20.
Therefore, the square root of 0.0025 is 1/20.
11) For [(a^2bc^4)(ab^3c^2)]^2 / (b^2c^5)^3, we can apply the exponent rules for multiplication and division.
Expanding the numerator, we have (a^2 * b * c^4 * a * b^3 * c^2)^2.
Rearranging the variables, we have (a^2 * a * b * b^3 * c^4 * c^2)^2.
Multiplying the like terms, we get (a^3 * b^4 * c^6)^2.
Now, expanding the denominator, we have (b^2 * c^5)^3.
Applying the exponent rule for raising a power to a power, we have (b^6 * c^15).
Dividing the numerator by the denominator, we get (a^3 * b^4 * c^6)^2 / (b^6 * c^15).
Applying the exponent rule for division, we have a^(3*2) * b^(4-6) * c^(6-15).
Simplifying further, we have a^6 * b^(-2) * c^(-9).
Therefore, the final expression is a^6 / (b^2 * c^9).
12) For 4^(-5/2) expressed as a radical with positive exponents, we can rewrite it as 1 / (4^(5/2)).
To convert the exponent from negative to positive, we can use the property that (a/b)^(-n) = (b/a)^n.
Applying this property, we have (4^(2/5))^5.
Now, the exponent and the root cancel each other out, leaving us with 4.
Therefore, 4^(-5/2) is equivalent to the radical form of 4.
I hope this helps! Let me know if you have any further questions.