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.