10⁻² = 1/100. State whether the statement is true or false.
Solution:
Given, 10⁻² = 1/100.
Using law of exponents,
a⁻ⁿ = 1/aⁿ
So, 10⁻² = 1/10²
= 1/100
Therefore, 10⁻² = 1/100.
✦ Try This: 10⁻³ = 1/1000. State whether the statement is true or false.
Given, 10⁻³ = 1/1000.
Using law of exponents,
a⁻ⁿ = 1/aⁿ
So, 10⁻³ = 1/10³
= 1/1000
Therefore, the given statement is true.
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 12
NCERT Exemplar Class 8 Maths Chapter 8 Problem 68
10⁻² = 1/100. State whether the statement is true or false.
Summary:
The given statement, ”10⁻² = 1/100” is true using the laws of exponents.
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