Advertisements
Advertisements
Question
Find the value of the following.
(−2)3 × (−10)3
Sum
Advertisements
Solution
(−2)3 × (−10)3 = (−1)3 × (−2)3 × (−1)3 × (−10)3
= (−1)3+3 × 23 × 103 ...[Grouping the terms of same base]
= (−1)6 × (2 × 10)3
[∵ am × bm = (a × b)m]
= 1 × 203 ...[since (−1)n = 1 if n is even]
= 8000
shaalaa.com
Is there an error in this question or solution?
Chapter 3: Algebra - Exercise 3.1 [Page 52]
APPEARS IN
RELATED QUESTIONS
Evaluate: `(2/5)^4 xx (5/2)^(-2)`
Find the value of the following.
(−3) × (−2)3
Simplify using law of exponents.
a4 × a10
Simplify and express the following in exponential form:
(32 × 33)7
The exponential form of 72 is
`((-3)/5)^100 = (-3^100)/(-5^100)`
50 × 250 × 1250 = (50)6
Find the value of n, where n is an integer and `2^(n - 5) xx 6^(2n - 4) = 1/(12^4 xx 2)`.
Express the following in single exponential form:
23 × 33
Express the following in single exponential form:
52 × 72
