Question
Simplify and express each of the following in exponential form.
$\left(2^3 \times 2\right)^2$
$\left(2^3 \times 2\right)^2$
✓
Answer
We have,
$\left(2^3 \times 2\right)^2=\left(2^{3+1}\right)^2=\left(2^4\right)^2=2^{4 \times 2}$ $\left[\because a^m \times a^n=a^{m+n}\right]$
$=2^8 \quad\left[\because\left(a^m\right)^n=a^{m n}\right]$
$\left(2^3 \times 2\right)^2=\left(2^{3+1}\right)^2=\left(2^4\right)^2=2^{4 \times 2}$ $\left[\because a^m \times a^n=a^{m+n}\right]$
$=2^8 \quad\left[\because\left(a^m\right)^n=a^{m n}\right]$
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
Find the median of the following data: $12, 17, 3, 14, 5, 8, 7, 15$
→Find the radius of a circle, if its area is: $4\pi\text{cm}^2$
→Using the token interpretation, find the values of:
(-4) × (-1)
(-4) × (-1)
Simplify the following algebraic expressions by removing grouping symbols.
$2 a-[4 b-\{4 a-3(2 a-b)\}]$
→$2 a-[4 b-\{4 a-3(2 a-b)\}]$
A vendor buys lemons at $Rs. 25$ per dozen and sells them at the rate of $5$ for $Rs. 12.$ Find his gain or loss percent.
→If two angles have a common vertex and their arms form opposite rays Fig. Then,
- How many angles are formed?
- How many types of angles are formed?
- Write all the pairs of vertically opposite angles.
The figure shows the diagram for a window with a grill. What is the gap between the two rods in the grill?
What should be subtracted from $\left(\frac{3}{4}-\frac{2}{3}\right)$ to get $\frac{-1}{6}$ ?
→Find the area of a rectangular field in hectares whose sides are: $75m$ $5dm$ and $120m$
→In Fig. line n is a transversal to lines 1 and m. Identify the following:
Pairs of interior and exterior angles on the same side of the transversal in Fig.
Pairs of interior and exterior angles on the same side of the transversal in Fig.