Maths-

General

Easy

Question

# Evaluate:

a^{−3}b^{−4} / a^{−2}b^{−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: Simplifying the given expression, we get the value 1/ab.

### Step-by-step solution:-

a^{−3}b^{−4} / a^{−2} b^{−3}

= a^{-3-(-2}) × b^{-4-(-3)} ….......................................................... (a^{n}/a^{m} = a^{n-m})

= a^{-3+2} × b^{-4+3}

= a^{-1} × b^{-1}

= 1/a × 1/b …................................................................ (b^{-n} = 1/b^{n})

= 1/ab

Final Answer:-

∴ Simplifying the given expression, we get the value 1/ab.

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