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# Value of (256)^{0.16 }× (256)^{0.09 }is

a. 4

b. 16

c. 64

d. 256.25

**Solution:**

Given

(256)^{0.16 }× (256)^{0.09 }

It can be written as

= (256)^{16/100 }× (256)^{9/100}

Using a^{m} × a^{n} = a^{m + n}

= 256 ^{16/100 + 9/100}

= 256^{25/100}

So we get

= 256^{1/4}

= (4^{4})^{1/4}

We know that [a^{m}]^{n} = a^{mn}

= 4

Therefore, the value is 4.

**✦ Try This: **Value of (81)^{0.9 }× (81)^{0.27 }is

**☛ Also Check: **NCERT Solutions for Class 9 Maths Chapter 1

**NCERT Exemplar Class 9 Maths Exercise 1.1 Problem 20**

## Value of (256)^{0.16 }× (256)^{0.09 }is a. 4, b. 16, c. 64, d. 256.25

**Summary**:

A rational number is a number that is of the form p/q where p and q are integers and q is not equal to 0. Value of (256)^{0.16 }× (256)^{0.09 }is 4

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