Question

Using the Power Rule of Exponents, what is an equivalent form of the expression (6^3)^3 Base= Exponent=

Answer 1

(6^3)^3 = 6^(3*3) = 6^9

Answer 2

Using the Power Rule of Exponents, what is an equivalent form of the expression (6^3)^3
Base=
Exponent=

Answer 3

Base = 6^3
Exponent = 3

Answer 4

Using the Power Rule of Exponents, what is the whole number exponent in an equivalent form of (5^6)^2?

Answer 5

The whole number exponent in an equivalent form of (5^6)^2 is 12.

Answer 6

Using the Power Rule of Exponents, what is the whole number exponent in an equivalent form of (2^7)^4 ?

Answer 7

The whole number exponent in an equivalent form of (2^7)^4 is 28.

Answer 8

Evaluate the expression (1^4⋅(5+3)/(6−2)^2 . Show all your work

Answer 9

To evaluate the expression (1^4⋅(5+3)/(6−2)^2, we need to follow the order of operations (also known as PEMDAS: Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
Let's start by evaluating the expression within the parentheses: 5 + 3 = 8.
Now, the expression becomes:
(1^4⋅8)/(6−2)^2.
Next, we calculate the exponent: 1^4 = 1.
The expression simplifies to:
(1⋅8)/(6−2)^2.
Now we calculate the difference within the parentheses: 6 - 2 = 4.
The expression becomes:
(1⋅8)/4^2.
Now we calculate the exponent within the parentheses: 4^2 = 16.
The expression simplifies to:
8/16.
Finally, we simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 8.
The expression evaluates to 1/2.