Advertisements
Advertisements
Question
Simplify and express the result in power notation with positive exponent.
`(−3)^4 × (5/3)^4`
Advertisements
Solution
`(−3)^4 × (5/3)^4`
= `(-1)^4 xx (3)^4 xx (5)^4/(3)^4`
= `3^4/3^4 xx 5^4`
= `3^(4-4) xx 5^4`
= 30 × 54 ...`[∵ a^m/a^n = a^(m-n)]`
= 1 × 54
= (5)4
APPEARS IN
RELATED QUESTIONS
Simplify and express the result in power notation with positive exponent.
`(1/2^3)^2`
Simplify:
By what number should \[\left( \frac{1}{2} \right)^{- 1}\] be multiplied so that the product may be equal to \[\left( - \frac{4}{7} \right)^{- 1} ?\]
Evaluate:
5−2
Express the following rational numbers with a positive exponent:
Evaluate.
`(8^(-1)xx5^(3))/2^(-4)`
Expand the following numbers using exponents.
1025.63
Express 3–5 × 3–4 as a power of 3 with positive exponent.
The cells of a bacteria double itself every hour. How many cells will there be after 8 hours, if initially we start with 1 cell. Express the answer in powers.
