Find x such that 1/5⁵ × 1/5¹⁹ = 1/5^8x

Solution:

Given

1/5⁵ × 1/5¹⁹ = 1/5^8x

From the law of exponents

a^m × aⁿ = a^m+n

1/5^{5 + 19} = 1/5^8x

1/5²⁴ = 1/5^8x

As both LHS and RHS have same base, let us equate the powers

24 = 8x

Dividing both sides by 8

x = 3

Therefore, the value of x is 3.

✦ Try This: Find x such that 1/4⁶ × 1/4²⁰ = 1/4^6x

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 13

---

NCERT Exemplar Class 7 Maths Chapter 11 Sample Problem 14

Find x such that 1/5⁵ × 1/5¹⁹ = 1/5^8x

Summary:

The value of x such that 1/5⁵ × 1/5¹⁹ = 1/5^8x is 3

---

☛ Related Questions:

• [(-3)2] 3 is equal to: a. (-3)8, b. (-3)6, c. (-3)5, d. (-3)23
• For a non-zero rational number x, x8 ÷ x2 is equal to a. x4, b. x6, c. x10, d. x16
• x is a non-zero rational number. Product of the square of x with the cube of x is equal to the: a. s . . . .