# How do you evaluate 4^2*4^2?

Nov 26, 2016

${4}^{2} \cdot {4}^{2} = 256$

#### Explanation:

This can be written as

$\left(4 \cdot 4\right) \cdot \left(4 \cdot 4\right) \implies 16 \cdot 16 \implies 256$

Nov 26, 2016

${4}^{2} \times {4}^{2} = {4}^{4}$

#### Explanation:

You can evaluate each factor and then multiply them, but you can also find the answer by using laws of indices.

Compare with

${x}^{2} \times {x}^{2} \text{ } \leftarrow$ bases are the same, add the indices

=${x}^{2 + 2} = {x}^{4}$

${4}^{2} \times {4}^{2} = {4}^{2 + 2} = {4}^{4}$

${4}^{4} = 4 \times 4 \times 4 \times 4 = 256$