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 × aⁿ = a^{m + n}

= 256 ^{16/100 + 9/100}

= 256^25/100

So we get

= 256^1/4

= (4⁴)^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

☛ Related Questions:

• Which of the following is equal to x? a. x12/7 × x5/7, b. 12th root of x power 4 to the power one th . . . .
• Are there two irrational numbers whose sum and product both are rationals? Justify
• There is a number x such that x2 is irrational but x4 is rational. Is the given statement true or fa . . . .