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Simplify. Express your answer using positive exponents. $\newline$ $(8t)(5t)(5t)$

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Simplify exponential expressions using the multiplication and division rules

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Q. Simplify. Express your answer using positive exponents.

\newline

(8t)(5t)(5t)

Group Coefficients and Powers: Group the coefficients and powers that have the same base. $\newline$ $(8t)(5t)(5t)$ can be grouped as $(8 \times 5 \times 5) \times (t \times t \times t)$ .
Calculate Product of Coefficients: Calculate the product of the coefficients. $8 \times 5 \times 5$ equals $40 \times 5$ , which equals $200$ .
Combine Powers of t: Combine the powers of t. $\newline$ Since the base $t$ is the same, we add the exponents when multiplying. $\newline$ $t \times t \times t$ is $t$ raised to the power of $1+1+1$ , which is $t^3$ .
Write in Simplest Form: Write the expression in its simplest form. $\newline$ Combine the results from Step $2$ and Step $3$ to get the final simplified expression. $\newline$ $(8t)(5t)(5t)$ equals $200 \times t^3$ , which is $200t^3$ .

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