Which expression is correctly developed to use the power rule of exponents?

A. (7^4)^8
B. 12^9
C. (-5)^0
D. (7^8) • (7^10)
Which of the following correctly use the power rule of exponents in the expression (10^9)^7?
A. 90^7
B. 10^16
C. 10^2
D. 10^63
If the expression 4^10 was simplified, using the power rule of exponents what an equivalent expanded expression?
A. (4^5)^2
B. 4 • 4 • 4 • 4 • 4 • 4 • 4
C. (4^2)^8
D. (4^12)^2
Use the power rule of exponents to create an expression equivalent to (15^6)^2
A. 15^3
B. 15^8
C. 15^4
D. 15^12
What exponent would make the two expressions equivalent (3^3)^x = 3^24?
A. 8
B. 21
C. 15
D. 27

A. (7^4)^8

B. 12^9

C. (-5)^0

D. (7^8) • (7^10)

The correct expression that uses the power rule of exponents is D. (7^8) • (7^10), because the power rule states that when multiplying two exponents with the same base, you add the exponents together.

A. (10^9)^7

B. 90^7

C. 10^16

D. 10^63

The correct expression that uses the power rule of exponents is C. 10^16, because the power rule states that when raising a power to another power, you multiply the exponents together.

A. (4^5)^2

B. 4 • 4 • 4 • 4 • 4 • 4 • 4

C. (4^2)^8

D. (4^12)^2

The correct expression that uses the power rule of exponents is C. (4^2)^8, because the power rule states that when raising a power to another power, you multiply the exponents together.

A. (15^6)^2

B. 15^8

C. 15^4

D. 15^12

The correct expression that uses the power rule of exponents is D. 15^12, because the power rule states that when raising a power to another power, you multiply the exponents together.

(3^3)^x = 3^24

To make the two expressions equivalent, x would have to be B. 21, because the power rule states that when two powers with the same base are equal, their exponents must be equal as well.