Express 3⁻⁵ × 3⁻⁴ as a power of 3 with positive exponent.

Solution:

Given, the expression is 3⁻⁵ × 3⁻⁴

We have to express the given expression as a power of 3 with a positive exponent.

Using law of exponents,

a^m × aⁿ = a^{m + n}

From the given expression,

a = 3

m = -5

n = -4

So, m + n = -5 + (-4)

= -5 - 4

= -9

So, 3⁻⁵ × 3⁻⁴ = 3⁻⁹.

Using law of exponents,

a⁻ⁿ = 1/aⁿ

So, 3⁻⁹ = 1/3⁹

Therefore, 3⁻⁵ × 3⁻⁴ = 1/3⁹.

✦ Try This: Express 3⁻⁶ × 3⁻⁷ as a power of 3 with positive exponent.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 12

---

NCERT Exemplar Class 8 Maths Chapter 8 Problem 92

Express 3⁻⁵ × 3⁻⁴ as a power of 3 with positive exponent.

Summary:

On expressing 3⁻⁵ × 3⁻⁴ as a power of 3 with positive exponent we get 1/3⁹ using the law of exponents

---

☛ Related Questions:

• Express 16⁻² as a power with the base 2
• Express 27/64 and -27/64 as powers of a rational number
• Express 16/81 and -16/81 as powers of a rational number