Multiplication of Powers with the Same Base

Q. Simplify and express the following in exponential form:
$\frac{2^3\times 3^4\times 4}{3\times 32}$

[2 Marks]

Q.

Find the value of $(\frac{2}{3}{)}^5\times 3^6\times \frac{1}{8}\times \frac{1}{6}$.
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Q. $2^2+2^{-2}$ = $1$

1. True
2. False

Q. Find the value of $3^6\times 3^2$.

1. $3^8$
2. $3^4$
3. $0$
4. $3^{12}$

Q.

$a^m$ $\times$ $a^n$ = $a^{mn}$

1. True

2. False

Q. Solve for $x$ in the equation $(-5{)}^{x+1}\times (-5{)}^5=(-5{)}^7$.

1. 6
2. 7
3. 2
4. 1

Q. If $a$ is a non-zero integer and $m$ and $n$ are any integers, then $a^m\times a^n$ = .

1. $a^{mn}$
2. $a^{m+n}$
3. $a^{\frac{m}{n}}$

Q. The multiplicative inverse of ${10}^{-5}$ is

1. - 50
2. 0.00001
3. - 1, 00, 000
4. 1, 00, 000

Q. The multiplicative inverse of $2^2$ is

1. $\frac{1}{4}$
2. $\frac{2}{10}$
3. $\frac{1}{16}$
4. $\frac{1}{2}$

Q. If $5^{m+2}$ $\times$ $5^4$ = $5^3$ , then $m$ = .

1. \N
2. -1
3. -4
4. -3