Advertisements
Advertisements
Question
Write the following in exponential form:
\[\left( \frac{2}{5} \right)^{- 2} \times \left( \frac{2}{5} \right)^{- 2} \times \left( \frac{2}{5} \right)^{- 2}\]
Advertisements
Solution
\[\left( \frac{2}{5} \right)^{- 2} \times \left( \frac{2}{5} \right)^{- 2} \times \left( \frac{2}{5} \right)^{- 2} = \left( \frac{2}{5} \right)^{- 2 + \left( - 2 \right) + \left( - 2 \right)} \left\{ a^m \times a^n = a^{m + n} \right\}\]
\[ = \left( \frac{2}{5} \right)^{- 6}\]
APPEARS IN
RELATED QUESTIONS
Evaluate.
(−4)−2
Find the value of the following:
\[\left( \frac{1}{2} \right)^{- 1} + \left( \frac{1}{3} \right)^{- 1} + \left( \frac{1}{4} \right)^{- 1}\]
Simplify:
Express the following rational numbers with a negative exponent:
If \[x = \left( \frac{4}{5} \right)^{- 2} \div \left( \frac{1}{4} \right)^2\], find the value of x−1.
Find the value of x for which 52x ÷ 5−3 = 55.
Find the value of (2−1 × 4−1) ÷2−2.
Expand the following numbers using exponents.
1256.249
The expression for 4–3 as a power with the base 2 is 26.
