Exponent of a Product

Q. The value of $4^3\times 2^3$ is ___.

1. 512
2. 256
3. 128
4. 1024

Q. $\text{Simplify:}(m^2–n^{2}m{)}^2+2m^3{n}^2$

Q. ${625}^{\frac{1}{3}}\times {1600}^{\frac{1}{3}}$ = ___

1. 50
2. 125
3. 75
4. 100

Q.

How do you rewrite${(-7)}^{-1}$ without the exponent?

Q.

Question 99(ii)

$(-2{)}^3\times (-2{)}^6=(-2{)}^{2x-1}$

Q. Which option is equivalent to the following expression?
$(9.4\times {10}^7)\times (5.8\times {10}^9)$

1. $545.2\times {10}^9$
2. $54.52\times {10}^7$
3. $5.452\times {10}^{10}$
4. $5.452\times {10}^4$

Q.

Question 160(iv)

For each hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.

Q. Simplify :

$\text{(a)}{\left(\frac{2}{3}\right)}^{-3}\times {\left(\frac{2}{3}\right)}^{-1}\text{(b)}{\left[{\left(\frac{-1}{2}\right)}^{-3}\right]}^{-2}$

Q. Simplify :
$\frac{(3^3{)}^2\times 5^2}{(9{)}^2\times 5}$

Q. Consider the following statements.

(i) $\frac{2^7}{5^7}={\left(\frac{2}{5}\right)}^7$

(ii) $2^7\times 5^7=(25{)}^7$

1. (i) is true and (ii) is false.
2. (i) is false and (ii) is true.
3. Both statements are false.
4. Both statements are true.

Q.

What is the sum of 3 raised to power 2 and 4 raised to power 2?

1. 18

2. 5

3. 7

4. 25

Q. Simplify $(4^{-1}+8^{-1})÷{\left(\frac{2}{3}\right)}^{-1}$

Q. What is the value of $3^6\times 3^4$?

1. 3^24
2. 3^10
3. 3^8
4. 3^2