By multiplying (10)⁵ by (10)^-10 we get ________. Fill in the blank to make the statement true.

Solution:

Given, by multiplying (10)⁵ by (10)^-10 we get ________.

Multiplying (10)⁵ by (10)^-10 can be written as 10⁵ × 10^-10.

Using the law of exponents,

a^m × aⁿ = a^{m + n}

From the given expression,

m = 5

n = -10

So, m + n = 5 - 10

= -5

Therefore, 10⁵ × 10^-10 = 10^-5.

✦ Try This: By multiplying (4)⁵ by (4)^-9 we get ________. Fill in the blanks to make the statement true.

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

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NCERT Exemplar Class 8 Maths Chapter 8 Problem 42

By multiplying (10)⁵ by (10)^-10 we get ________. Fill in the blank to make the statement true.

Summary:

By multiplying (10)⁵ by (10)^-10 we get 10^-5 which makes the statement true.

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☛ Related Questions:

• [(2/13)⁻⁶ ÷ (2/13)³]³ × (2/13)⁻⁹ = ___________. Fill in the blank to make the statement true
• Find the value [4⁻¹ + 3⁻¹ + 6⁻²]⁻¹
• [2⁻¹ + 3⁻¹ + 4⁻¹]⁰ = ______ . Fill in the blank to make the statement true