Simplify. Express your answer using positive exponents. (10t^8)(9t)(7t^8) ______

Multiply Coefficients: Multiply the coefficients (numbers) together. We have 10, 9, and 7 as coefficients. Multiplying these together gives us: 10 * 9 * 7 = 630Multiply Variables with Exponents: Multiply the variables with exponents together. We have t^8, t, and t^8. When we multiply variables with the same base, we add the exponents. t^8 * t * t^8 = t^(8+1+8) = t^17Combine Results: Combine the results from Step 1 and Step 2 to get the final simplified expression. The final expression is the product of the coefficient from Step 1 and the variable with exponent from Step 2: 630 * t^17

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Grade 8

Multiply and divide powers: variable bases

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Q. Simplify. Express your answer using positive exponents.

\newline

(10t^8)(9t)(7t^8)

Multiply Coefficients: Multiply the coefficients (numbers) together. $\newline$ We have $10$ , $9$ , and $7$ as coefficients. Multiplying these together gives us: $\newline$ $10 \times 9 \times 7 = 630$
Multiply Variables with Exponents: Multiply the variables with exponents together. $\newline$ We have $t^8$ , $t$ , and $t^8$ . When we multiply variables with the same base, we add the exponents. $\newline$ $t^8 \times t \times t^8 = t^{(8+1+8)} = t^{17}$
Combine Results: Combine the results from Step $1$ and Step $2$ to get the final simplified expression. $\newline$ The final expression is the product of the coefficient from Step $1$ and the variable with exponent from Step $2$ : $\newline$ $630 \times t^{17}$