Maths-

General

Easy

Question

# Express as a power with base 3.

Hint:

### In Mathematics, lets say, "a" represents a number and "n" is the number of times that number is to be multiplied with itself, in order to get a desired result. Then, such result can be written as an, where a is called the base and n is its power/ exponent.

an = a × a × ... × a n times.

## The correct answer is: 3 to the power of negative 5 end exponent

### Step-by-step solution:-

3^{-2} × 27 × 9^{-3}

= 3-2 × 33 × (32)-3

= 3-2 × 33 × 3-6 …................................................................. [(b^{n})^{m} = b^{n⋅m}]

= 3(-2)+3+(-6) …....................................................................... (an × a^{m} = a^{n+m})

= 3^{-5}

Final Answer:-

∴ The given expression as a power with base 3 can be written as 3^{-5}.

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