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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Simplify: (1/5)45 × (1/5)-60 - (1/5)28 × (1/5)-43
Solution:
Given, the expression is (1/5)45 × (1/5)-60 - (1/5)28 × (1/5)-43
We have to simplify the expression.
Using the law of exponents,
am × an = am + n
Now, (1/5)45 × (1/5)-60 = (1/5)45 - 60
= (1/5)-15
Similarly, (1/5)28 × (1/5)-43 = (1/5)28 - 43
= (1/5)-15
(1/5)45 × (1/5)-60 - (1/5)28 × (1/5)-43 = (1/5)-15 - (1/5)-15
= 0
Therefore, the simplified value is 0.
✦ Try This: Simplify: (1/3)43 × (1/3)-63 - (1/3)38 × (1/3)-58
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 12
NCERT Exemplar Class 8 Maths Chapter 8 Problem 180(4)
Simplify: (1/5)45 × (1/5)-60 - (1/5)28 × (1/5)-43
Summary:
The simplified value of (1/5)45 × (1/5)-60 - (1/5)28 × (1/5)-43 is 0 using the law of exponents
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