Simplify 12^87÷12^25. Pleaz
What is the missing number in this simplified exponental Expression 7^?÷7^5=7^12??? Pleas help!!!
What is the value of 6.9-2^0
Solve the expression 15•8^0/5 +4 (7^0-6)
To solve the expression, we need to follow the order of operations, which is often remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
First, we start with the parentheses:
7^0 equals 1, so (7^0 - 6) becomes (1 - 6).
Next, we simplify within the parentheses:
(1 - 6) = -5
Now, let's simplify the rest of the expression, following the order of operations:
15 • 8^0 / 5 + 4 • (-5)
Since 8^0 equals 1:
15 • 1 / 5 + 4 • (-5)
Next, perform the multiplications and divisions:
15 / 5 + (-20)
Finally, perform the addition and subtraction:
3 + (-20) = -17
Therefore, the value of the expression 15 • 8^0 / 5 + 4 • (7^0 - 6) is -17.
Use the power rule of exponents to simplify (10^3)^6
To simplify (10^3)^6 using the power rule of exponents, you need to multiply the exponents.
The power rule of exponents states that when you have an exponent raised to another exponent, you multiply the exponents together.
In this case, you have (10^3)^6. The base is 10 and the exponent is 3. When you raise this entire expression to the exponent 6, you multiply the exponents:
(10^3)^6 = 10^(3*6) = 10^18
Therefore, (10^3)^6 simplifies to 10^18.
Use the power of rule of exponents to make a simplified equivalent expression for (19^4)^9
To simplify (19^4)^9 using the power rule of exponents, you need to multiply the exponents.
The power rule of exponents states that when you have an exponent raised to another exponent, you multiply the exponents together.
In this case, you have (19^4)^9. The base is 19, and you are raising it to the exponent 4, and then raising that entire expression to the exponent 9. To simplify this, you multiply the exponents:
(19^4)^9 = 19^(4*9) = 19^36
Therefore, (19^4)^9 simplifies to 19^36.
To simplify this expression, we can subtract the exponents since the bases are the same.
12^87 ÷ 12^25 = 12^(87-25) = 12^62
To find the missing number in the exponent, you can set up an equation using the properties of exponents.
Since the bases are the same (7), you can subtract the exponents on the left side:
7^? ÷ 7^5 = 7^12
To simplify this equation, you can use the property of division, which states that dividing two powers with the same base is equivalent to subtracting their exponents:
7^(? - 5) = 7^12
Now, you can see that the exponents on both sides of the equation are the same. This means that the missing number in the exponent is simply the value obtained by subtracting 5 from 12:
? - 5 = 12
Add 5 to both sides of the equation to isolate the missing number:
? = 12 + 5
? = 17
Therefore, the missing number in the exponential expression is 17.