Question

HELP PLEASE. Check picture. I have tried but cannot seem to get it.

Answer 1

`884^{-7`

Explanation:

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Before we begin solving, let's review a few rules of exponents.

1. If an exponent is multiplying with another exponent and their bases are the same, you can simply add the exponents.
2. If an exponent is dividing with another exponent and their bases are the same, you can simply subtract the exponents.

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• ⇒
  `(884^(97) )/(884^(58) * 884^(46) )`

• ⇒
  `(884^(97) )/(884^(58 + 46))` [#1]

• ⇒
  `(884^(97) )/(884^(104))`

• ⇒
  `884^{97 - 104` [#2]

• ⇒
  `\boxed{884^(-7)}`

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Answer 2

`884^(-7)`

Explanation:

Start by simplifying the denominator of the fraction. When multiplying exponents of the same base, you can add the exponents. This is also known as the product rule.

`a^x\cdot a^y=a^(x+y)`

["a" is the base, and "x" and "y" are the exponents]

Using this we find...

`884^(58)\cdot884^(46)=884^(58+46)=884^(104)`

When dividing exponents of the same base, you can subtract the exponents. This is also knows as the quotient rule.

`a^x/ a^y=a^(x-y)`

Using this we find...

`(884^(97))/(884^(104))=884^(97-104)=884^(-7)`