Evaluate (3×7)^(-4): Negative Exponent Practice Problem

Insert the corresponding expression:

$\left(3\times7\right)^{-4}=$

To solve the expression $(3 \times 7)^{-4}$, we need to apply the rules for negative exponents:

The expression $(3 \times 7)^{-4}$ can be rewritten using the negative exponent rule, which states that $x^{-n} = \frac{1}{x^n}$. Applying this rule gives:
$(3 \times 7)^{-4} = \frac{1}{(3 \times 7)^4}$

This simplifies the problem, as now it is expressed in terms of a positive exponent.

Checking our choices, the correct expression is match with choice 3: $\frac{1}{(3 \times 7)^4}$

Thus, $(3 \times 7)^{-4} = \frac{1}{(3 \times 7)^4}$.