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Simplify.
4-3 49 = 4[?]


Simplify. 4-3 49 = 4[?] ●-example-1

1 Answer

4 votes

Answer:


  • \boxed{\sf 4^(-3)*4^9 = \bf 4^6}

Explanation:


\sf 4^(-3)*4^9= 4^?

- When multiplying like bases, we keep the base the same and add the exponents.

- When raising a base with a power to another power, keep the base the same and multiply the exponents.

- When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent.*

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In our example:
\sf 4^(-3)*4^9= 4^? the bases are multiplied therefore, we add the exponents together and keep the bases the same.


  • \sf 4^(-3)*4^9= 4^?

  • \sf 4^(-3 + 9 )

  • \sf =4^6


\sf 4^(-3)*4^9 = 4^(\bf 6)

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Hope this helps! :)

User Trafalmadorian
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