Question
Using laws of exponent, simplify and write the answer in exponential form: $2^5 \times 5^5$
✓
Answer
By expanding $2^5 \times 5^5$, we get $2 \times 2 \times 2 \times 2 \times 2 \times 5 \times 5 \times 5 \times 5 \times 5$
$=(2 \times 5) \times(2 \times 5) \times(2 \times 5) \times(2 \times 5) \times(2 \times 5)=10 \times 10 \times 10 \times 10 \times 10=10^5$
Hence $2^5 \times 5^5=10^5$
$=(2 \times 5) \times(2 \times 5) \times(2 \times 5) \times(2 \times 5) \times(2 \times 5)=10 \times 10 \times 10 \times 10 \times 10=10^5$
Hence $2^5 \times 5^5=10^5$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Express $\frac{-192}{108}$ as a rational number with numerator:
64
→64
Find the following product: $\Big(\frac{1}{5}\text{x}+2\text{y}\Big)\Big(\frac{2}{3}\text{x}-\text{y}\Big)$
→Find the diameter of a circle whose circumference is
11.0 km
11.0 km
Find xsuch that $\frac{-3}{4}$and $\frac{x}{-36}$ are equivalent rational numbers.
→Which of the two rational numbers in the following pairs of rational number is greater?
$\frac{-5}{8}, \frac{3}{-4}$
→$\frac{-5}{8}, \frac{3}{-4}$
Find the area of a rectangular field in hectares whose sides are: $125\ m$ and $400\ m$
→Find the value of $x$ in the following figure.
→Find the mean of first six multiples of $4.$
→Which of the two rational numbers in the following pairs of rational numbers is greater?
$\frac{-3}{8},0$
→$\frac{-3}{8},0$
Simplify and express the following in exponential form: $\left(3^7 \div 3^5\right)^4$
→