The expression for 3⁵ with a negative exponent is _________. Fill in the blank to make the statement true.

Solution:

Given, the expression for 3⁵ with a negative exponent is _________.

Using law of exponents,

a⁻ⁿ = 1/aⁿ

Considering 3⁵,

a = 3

n = 5

a⁻ⁿ = 3⁻⁵

Therefore, the required value is 3⁻⁵.

✦ Try This: The expression for 6⁴ with a negative exponent is _________. Fill in the blank to make the statement true.

Given, the expression for 6⁴ with a negative exponent is _________.

Using law of exponents,

a⁻ⁿ = 1/aⁿ

Considering 6⁴,

a = 6

n = 4

a⁻ⁿ = 6⁻⁴

Therefore, the required value is 6⁻⁴.

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

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NCERT Exemplar Class 8 Maths Chapter 8 Problem 63

The expression for 3⁵ with a negative exponent is _________. Fill in the blank to make the statement true.

Summary:

A negative exponent shows how many times we have to multiply the reciprocal of the base. The expression for 3⁵ with a negative exponent is 3⁻⁵

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☛ Related Questions:

• The value for (-7)⁶ ÷ 7⁶ is _________. Fill in the blank to make the statement true
• The value of [1⁻² + 2⁻² + 3⁻²] × 6² is ________ . Fill in the blank to make the statement true
• The multiplicative inverse of (-4)⁻² is (4)⁻². State whether the statement is true or false