Question

Simplify.
4-3 49 = 4[?]
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Answer 1

• 
  `\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! :)