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Sedaia [141]
3 years ago
10

Rewrite the expression in the form 4^n4 n 4, start superscript, n, end superscript. (4^{6})(4^{-8})=(4 6 )(4 −8 )=(, 4, start su

perscript, 6, end superscript, ), (, 4, start superscript, minus, 8, end superscript, ), equals
Mathematics
1 answer:
Colt1911 [192]3 years ago
8 0

Answer:

4^{-2}

Step-by-step explanation:

Given the expression:  (4^{6})(4^{-8})

The two terms have the same base 4. Therefore, we can apply the addition law of indices to simplify.

Addition Law of Indices: a^x \cdot a^y=a^{x+y}

Therefore:

(4^{6})(4^{-8})\\=4^{6+(-8)}\\=4^{6-8}\\=4^{-2}

Therefore:

(4^{6})(4^{-8})=4^{-2} in the form 4^n

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