Rewrite the product as an exponential expression.
$(\frac{2}{9}) \times (\frac{2}{9}) \times (\frac{2}{9}) \times (\frac{2}{9}) \times (\frac{2}{9})$

$5 raised to the two ninths power$

${(\frac{2}{9})}^{\frac{2}{9}}$

$5 to the fifth power$

${(\frac{2}{9})}^{5}$

Verified step by step guidance

Identify the repeated factor in the product. Here, the factor $\left(\frac{2}{9}\right)$ is multiplied by itself multiple times.

Count how many times the factor $\left(\frac{2}{9}\right)$ is repeated in the product. In this case, it appears 5 times.

Recall the definition of an exponential expression: when a number or expression is multiplied by itself repeatedly, it can be written as a power with an exponent indicating the number of repetitions.

Rewrite the product $\left(\frac{2}{9}\right) \times \left(\frac{2}{9}\right) \times \left(\frac{2}{9}\right) \times \left(\frac{2}{9}\right) \times \left(\frac{2}{9}\right)$ as an exponential expression using the base $\left(\frac{2}{9}\right)$ and the exponent 5.

Express the product as $\left(\frac{2}{9}\right)^5$, which means $\left(\frac{2}{9}\right)$ multiplied by itself 5 times.

5:24m

Watch next

Master Intro to Exponents with a bite sized video explanation from Patrick Ford

Struggling with Beginning Algebra?

Rewrite the product as an exponential expression.(29)×(29)×(29)×(29)×(29)\(\left\)(\(\frac\)29\(\right\))\(\times\[\left\)(\(\frac\)29\(\right\))\(\times\]\left\)(\(\frac\)29\(\right\))\(\times\[\left\)(\(\frac\)29\(\right\))\(\times\]\left\)(\(\frac\)29\(\right\))

Watch next

Rewrite the product as an exponential expression.
$(\frac{2}{9}) \times (\frac{2}{9}) \times (\frac{2}{9}) \times (\frac{2}{9}) \times (\frac{2}{9})$