Simplify. Rewrite the expression in the form 4^(n). (4^(11))(4^(-8))=

Use Exponent Property: To simplify the expression (4^(11))(4^(-8)), we need to use the property of exponents that states when multiplying powers with the same base, we add the exponents. So, we will add the exponents 11 and -8. Calculation: 4^(11 + (-8)) = 4^(11 - 8) = 4^3Perform Exponent Calculation: Now that we have simplified the expression, we can check for any mathematical errors by ensuring that the exponents were added correctly. Calculation check: 11 - 8 = 3

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

(4^(11))(4^(-8))=

Simplify. $\newline$ Rewrite the expression in the form $\newline$ $4^{n}$ . $\newline$ $(4^{11})(4^{-8})=$

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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^{11})(4^{-8})=

Use Exponent Property: To simplify the expression $4^{11}$ $4^{-8}$ , we need to use the property of exponents that states when multiplying powers with the same base, we add the exponents. So, we will add the exponents $11$ and $-8$ . $\newline$ Calculation: $4^{11 + (-8)} = 4^{11 - 8} = 4^3$
Perform Exponent Calculation: Now that we have simplified the expression, we can check for any mathematical errors by ensuring that the exponents were added correctly. $\newline$ Calculation check: $11 - 8 = 3$