Solve 3^2*3^2=frac{1}4^2

$$3 ^ { 2 } \times 3 ^ { 2 } = \frac { 1 } { 4 } ^ { 2 }$$

Verify

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$3^{4}=\left(\frac{1}{4}\right)^{2}$$

Calculate 3 to the power of 4 and get 81.

$$81=\left(\frac{1}{4}\right)^{2}$$

Calculate \frac{1}{4} to the power of 2 and get \frac{1}{16}.

$$81=\frac{1}{16}$$

Convert 81 to fraction \frac{1296}{16}.

$$\frac{1296}{16}=\frac{1}{16}$$

Compare \frac{1296}{16} and \frac{1}{16}.

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