Advertisements
Advertisements
Question
Simplify and express the following in exponential form:
254 ÷ 53
Sum
Advertisements
Solution
254 ÷ 53 = (5 × 5)4 ÷ 53
= (52)4 ÷ 53
= 52 × 4 ÷ 53 ...[∵ (am)n = amn]
= 58 ÷ 53
= 58 − 3 ...(∵ am ÷ an = am − n)
= 55
shaalaa.com
Is there an error in this question or solution?
Chapter 11: Exponents and Powers - EXERCISE 11.2 [Page 181]
APPEARS IN
RELATED QUESTIONS
Simplify:
a6 ÷ a4
Simplify:
p3 ÷ p13
Simplify:
x10 ÷ x10
Find the value.
75 ÷ 73
Find the value.
`(4/5)^3 div (4/5)^2`
Find the value.
47 ÷ 45
For non-zero numbers a and b, `(a/b)^m ÷ (a/b)^n`, where m > n, is equal to ______.
Which power of 8 is equal to 26?
`((-1)/4)^3 xx ((-1)/4)^- = ((-1)/4)^11`
By what number should (–4)5 be divided so that the quotient may be equal to (–4)3?
