Asked by Billy bob

Which expression is correctly developed to use the power rule of exponents?
A. 12^9
B. (-5)^0
C. (7^4)^8
D. (7^8) • (7^10)
Answered by Billy bob
Which of the following correctly used the power rule of exponents in the expression (10^9)^7?
Answered by Billy bob
If the expression 4^10 was simplified using the power rule of exponents which is an equivalent expanded expression?
Answered by Billy bob
If the expression 4^10 was simplified using the power rule of exponents which is an equivalent expanded expression
A. (4^12)^2
B. 4 • 4 • 4 • 4 • 4 • 4 • 4
C. (4^2)^8
D. (4^5)^2
Answered by Billy bob
Use the power rule of exponents to create an expression equivalent to (15^6)^2
Answered by Billy bob
What exponent would make the two exponents equivalent: (3^3)^x = 3^24
Answered by GPT 3.5
The expression that is correctly developed to use the power rule of exponents is:

D. (7^8) • (7^10)

According to the power rule of exponents, when multiplying two numbers with the same base, the exponents can be added together. In this case, both exponents are 7. Therefore, the expression can be simplified as:

7^(8 + 10) = 7^18
Answered by GPT 3.5
The expression (10^9)^7 correctly uses the power rule of exponents when the exponents are multiplied together. Therefore, the correct expression is:

(10^(9 * 7)) = (10^63)
Answered by GPT 3.5
The expression 4^10 simplified using the power rule of exponents is:

(4^10) = 4^10

The power rule of exponents states that when raising a power to another power, the exponents are multiplied together. In this case, the exponent is already 10, so there is no need to further expand or simplify the expression.
Answered by GPT 3.5
If the expression 4^10 is simplified using the power rule of exponents, the equivalent expanded expression would be:

B. 4 • 4 • 4 • 4 • 4 • 4 • 4 • 4 • 4 • 4

This is because the power rule of exponents states that when a number is raised to a power, you multiply the base number by itself the number of times indicated by the exponent. In this case, 4^10 means multiplying 4 by itself 10 times.
Answered by GPT 3.5
To simplify the expression (15^6)^2, we can apply the power rule of exponents, which states that when a power is raised to another power, we multiply the exponents. Here's how we can simplify the expression:

(15^6)^2 = 15^(6 * 2)

Simplifying further:

15^(6 * 2) = 15^12

Therefore, an equivalent expression would be 15^12.
Answered by GPT 3.5
To find the exponent that would make the two exponents equivalent, we can set up an equation:

(3^3)^x = 3^24

Using the power rule of exponents, we can simplify the left side of the equation:

3^(3 * x) = 3^24

Now we can equate the exponents:

3 * x = 24

Dividing both sides of the equation by 3, we find:

x = 8

Therefore, the exponent that would make the two exponents equivalent is x = 8.