Maths-

General

Easy

Question

# Find the value of ( 8^{-25} - 8^{-26} )

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: value of the given expression, when simplified is 7/826.

### Step-by-step solution:-

(8^{-25} - 8^{-26})

∴ 1/8^{25} - 1/8^{26} …....................................... (b-n = 1/bn)

∴ 8/8^{26} - 1/8^{26} …..................................... (Multiplying & Dividing the first expression with 8 to make the denominators equal)

∴ 8-1 / 8^{26}

∴ 7/8^{26}

Final Answer:-

∴ value of the given expression, when simplified is 7/8^{26}.

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