Simplify. Rewrite the expression in the form 4^(n). (4^(6))(4^(-8))=

Add Exponents: We are given the expression (4^(6))(4^(-8)). According to the properties of exponents, when we multiply two expressions with the same base, we add their exponents. So, we will add the exponents 6 and -8. Calculation: 6 + (-8) = -2Write Simplified Expression: Now that we have added the exponents, we can write the simplified expression using the base 4 and the new exponent. Final expression: 4^(-2)

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

(4^(6))(4^(-8))=

Simplify. $\newline$ Rewrite the expression in the form $\newline$ $4^{n}$ . $\newline$ $(4^{6})(4^{-8})=$

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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

4^{n}

\newline

(4^{6})(4^{-8})=

Add Exponents: We are given the expression $(4^{6})(4^{-8})$ . According to the properties of exponents, when we multiply two expressions with the same base, we add their exponents. So, we will add the exponents $6$ and $-8$ . $\newline$ Calculation: $6 + (-8) = -2$
Write Simplified Expression: Now that we have added the exponents, we can write the simplified expression using the base $4$ and the new exponent. $\newline$ Final expression: $4^{-2}$