Simplify. Rewrite the expression in the form 8^(n). (8^(-8))(8^(3))=

Write Expression: Write down the given expression. We have the expression (8^(-8))(8^(3)).Apply Law of Exponents: Apply the law of exponents for multiplication, which states that when multiplying two powers with the same base, you add the exponents. So, (8^(-8))(8^(3)) = 8^(-8 + 3).Perform Exponent Addition: Perform the addition of the exponents. -8 + 3 = -5. So, 8^(-8 + 3) = 8^(-5).Write Final Expression: Write the final simplified expression. The expression is now in the form 8^(n), where n = -5.

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Simplify.
Rewrite the expression in the form
8^(n).

(8^(-8))(8^(3))=

Simplify. $\newline$ Rewrite the expression in the form $\newline$ $8^{n}$ . $\newline$ $(8^{-8})(8^{3})=$

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Math Problems

Grade 8

Evaluate expressions using properties of exponents

Full solution

Q. Simplify.

\newline

Rewrite the expression in the form

\newline

8^{n}

\newline

(8^{-8})(8^{3})=

Write Expression: Write down the given expression. $\newline$ We have the expression $(8^{-8})(8^{3})$ .
Apply Law of Exponents: Apply the law of exponents for multiplication, which states that when multiplying two powers with the same base, you add the exponents. $\newline$ So, $(8^{-8})(8^{3}) = 8^{-8 + 3}$ .
Perform Exponent Addition: Perform the addition of the exponents. $\newline$ $-8 + 3 = -5$ . $\newline$ So, $8^{(-8 + 3)} = 8^{-5}$ .
Write Final Expression: Write the final simplified expression. $\newline$ The expression is now in the form $8^{n}$ , where $n = -5$ .