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प्रश्न
Find the value of x for which 52x ÷ 5−3 = 55.
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उत्तर
We have:
`5^(2x)div5^(-3)=5^5`
`5^(2x+3)=5^5` `->a^mdiva^n=a^(m-n)`
2x + 3 = 5
2x = 2
x = 1
Hence, x is 1.
संबंधित प्रश्न
Find the value of the following:
Find the value of the following:
Write the following in exponential form:
\[\left( \frac{2}{5} \right)^{- 2} \times \left( \frac{2}{5} \right)^{- 2} \times \left( \frac{2}{5} \right)^{- 2}\]
Simplify:
\[\left\{ 3^{- 1} \times 4^{- 1} \right\}^{- 1} \times 5^{- 1}\]
Express the following rational numbers with a positive exponent:
Which of the following is not equal to \[\left( \frac{- 3}{5} \right)^4 ?\]
Find the multiplicative inverse of the following.
2– 4
The multiplicative inverse of `(3/2)^2` is not equal to `(2/3)^-2`.
The expression for 4–3 as a power with the base 2 is 26.
Simplify and express the result in power notation with positive exponent.
`(−3)^4 × (5/3)^4`
