Question
Using laws of exponents, simplify and write the answer in exponential form:
$3^7 \times 2^7$
$3^7 \times 2^7$
✓
Answer
$3^7 \times 2^7$
We know that $\left(a^m \times b^m\right)=(a \times b)^m$
So,
$3^7 \times 2^7=(3 \times 2)^7$
$=6^7$
We know that $\left(a^m \times b^m\right)=(a \times b)^m$
So,
$3^7 \times 2^7=(3 \times 2)^7$
$=6^7$
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
Which of the following rational number are equal?
$\frac{-3}{9}\text{ and }\frac{7}{-21}$
→$\frac{-3}{9}\text{ and }\frac{7}{-21}$
Which of the following are pairs of co-primes ? : 8,14
The sum of two integers is 65. If one of them is -31, find the other.
State the correspondence between the vertices, sides and angles of the following pairs of congruent triangles.
$\triangle\text{ABC}\cong\triangle\text{EFD}$
→$\triangle\text{ABC}\cong\triangle\text{EFD}$
Can two angles be supplementary if both of them are:
Obtuse?
Obtuse?
Write of the following rational numbers in the standard form:
$\frac{-15}{-35}$
→$\frac{-15}{-35}$
On the line below, the distance between any two adjoining points shown on it is equal. Hence, fill in the blanks.
→
i. $\operatorname{seg} A B \cong \operatorname{seg}$
ii. $\operatorname{seg} A P \cong \operatorname{seg}$
iii. $\operatorname{seg} A C \cong \operatorname{seg}$
iv. seg __ $\cong \operatorname{seg} B Y$
v. seg $\_\cong \operatorname{seg} Y Q$
vi. seg $B W \cong$ seg
Divide:
0.477 by 18
0.477 by 18
A bus covers a certain distance in 3 hours 20 minutes at an average speed of 45km per hour. How much time will it take to cover the same distance at a speed of 50km per hour?
Simplify:
$-13\times\frac{17}{26}$
→$-13\times\frac{17}{26}$