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35 votes
Simplify the expression. Answer should be written with a positive exponent. See pic

Simplify the expression. Answer should be written with a positive exponent. See pic-example-1
User James Heffer
by
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1 Answer

7 votes
7 votes

Answer: m⁰

Given:


m^(-10)\cdot m^(10)

According to the Product rule of exponents:


a^x* a^y=a^(x+y)

Applying this to the given expression and we will get:


\begin{gathered} m^(-10)\cdot m^(10) \\ =m^(-10+10)^{} \\ =m^0=1 \end{gathered}

Since -10 + 10 equals 0, the answer in exponential form would be m⁰.

Note that any number raised to 0 is equal to 1.

User LouieV
by
2.9k points
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