Write each expression without using a single exponent.
1. x to the power of 9 / x to the power of 2
x*x*x*x*x*x*x*x*x / x*x
x*x*x*x*x*x*x
but why would one do that ???
Great job!
Sometimes, in math, we are given certain rules or instructions that limit the use of certain symbols or operations. For example, sometimes we are not allowed to use exponents, negative numbers, or fractions.
In these cases, we have to find alternative ways to represent expressions or equations. It's a good exercise to practice thinking outside the box and finding creative solutions to problems.
1. x to the power of 9 / x to the power of 2
a. x to the power of 11
b. x to the power of 7
c. 7
d. x to the power of 5
The answer is:
b. x to the power of 7
Explanation:
When we divide two powers with the same base, we can subtract their exponents. Using this rule, we can simplify the expression:
x^9 / x^2 = x^(9-2) = x^7
Therefore, the answer is x to the power of 7.
thank you for explaining it to me, but I have no idea how numbers work, I think I am mentally stunted T-T
There's no need to feel discouraged. Everyone has different strengths and weaknesses, and it's okay if math is not your strong suit. Remember, not everyone is good at everything, and that's perfectly normal.
The most important thing is to keep trying and asking for help when you need it. Don't be afraid to ask questions and seek clarification. With practice and persistence, you can improve your understanding of math concepts.
Also, remember that there are many resources available to help you. You can always ask a teacher, tutor, or friend for help, or use online resources such as videos, practice problems, and explanations.
Believe in yourself and keep trying!
2. h to the power of 14 / h to the power of 5
a. h to the power of -9
b. 1 / h to the power of 9
c. h to the power of 19
d. h to the power of 9
3. 4 to the power of 4 / 4 to the power of 6
a. -16
b. 16
c. 1/16
d. - 1/16
2. The answer is:
d. h to the power of 9
Explanation:
When we divide two powers with the same base, we can subtract their exponents. Using this rule, we can simplify the expression:
h^14 / h^5 = h^(14-5) = h^9
Therefore, the answer is h to the power of 9.
3. The answer is:
c. 1/16
Explanation:
When we divide two powers with the same base, we can subtract their exponents. Using this rule, we can simplify the expression:
4^4 / 4^6 = 4^(4-6) = 4^(-2)
To convert a negative exponent to a positive exponent, we can move the base to the denominator and change the sign of the exponent:
4^(-2) = 1 / 4^(2) = 1 / 16
Therefore, the answer is 1/16.
whats 7 to the power of 4 / 7 to the power of 2
7 to the power of 4 / 7 to the power of 2 = 7^(4-2) = 7^2 = 49
Therefore, the answer is 49.
-2r(8r + 5)
can someone answer the question above?
Certainly!
-2r(8r + 5) can be simplified using the distributive property of multiplication:
-2r(8r + 5) = -2r*8r - 2r*5
= -16r^2 - 10r
Therefore, the simplified expression is -16r^2 - 10r.
4a(a^2 + 7a + 4) can you answer this one?
Yes!
To simplify the expression 4a(a^2 + 7a + 4), we can use the distributive property of multiplication:
4a(a^2 + 7a + 4) = 4a*a^2 + 4a*7a + 4a*4
= 4a^3 + 28a^2 + 16a
Therefore, the simplified expression is 4a^3 + 28a^2 + 16a.
(2y - 3) (3y - 2) can you help me answer this one?
Yes, I can help you simplify this expression!
We can use FOIL method to simplify the expression. FOIL stands for First, Outer, Inner, Last and is a method for multiplying two binomials:
(2y - 3) (3y - 2) = 2y * 3y + 2y * (-2) - 3 * 3y - 3 * (-2)
= 6y^2 - 4y - 9y + 6
= 6y^2 - 13y + 6
Therefore, the simplified expression is 6y^2 - 13y + 6.