Question

Which expression is equivalent to (7^3)^-2?

A) 1/(7^6)
B) 7
C) 1/7
D) -1/(7^6)

Answer 1

The expression (7^3)^-2 is equivalent to 1/(7^6), simplifying using the power of a power rule and properties of negative exponents.

Step-by-step explanation:

The expression (7^3)^-2 is a mathematical expression that deals with exponents. To simplify this expression, we apply the power of a power rule which states that (a^b)^c = a^(b*c). Therefore, we have:

(7^3)^-2 = 7^(3*-2) = 7^-6

Since any number raised to a negative exponent means it's the reciprocal of that number to the positive exponent, 7^-6 is the same as 1/(7^6). The correct answer to this question is A) 1/(7^6).