Evaluating the Given Number

Q.

How do you evaluate $32$ to the power of $\frac{2}{5}$?

Q. Find the value of x in the given expression.
$2^x$ = 128

1. 3
2. 4
3. 5
4. 7

Q. What is $5$ squared times $3$ cubed?

1. 675

Q. The value of $n$ for $5^n=125$ is
.

1. $2$
2. $3$
3. $4$

Q. The value of ${10}^6$ is

1. $60$
2. $10,000,000$
3. $1,000,000$

Q. What is the value of ${10}^9$?

1. $1,000,000$
2. $1,000,000,000$
3. $100,000,000$
4. $10,000,000$

Q.

If $x$ be any integer different from zero and $m,n$ be any integer, then ${\left(x^m\right)}^n$ is equal to:

1. $x^{m+n}$

2. $x^{mn}$

3. $x^{\frac{m}{n}}$

4. $x^{m-n}$

Q. Connor is evaluating some expressions. Help him to find the value of x.

$5^x$ = 625

1. 3
2. 5
3. 2
4. 4

Q.

Describe how to add or subtract two numbers written in scientific notation with the same power of 10.

Q.

Find the square of $\frac{5}{2}$.

Q. Help Bella find the value of 8 raised to the 4th power.

1. $8^4$ = 84
2. $4^8$ = 65536
3. $8^4$ = 4096
4. $8^4$ = 512

Q. Match the values of $?$, $\ast$ and $\#$ for the following:
${10}^{?}=10,000,000$
${10}^{\ast }=10$
${10}^{\#}=1$

1. $0$
2. $7$
3. $1$

Q. Which of the following expressions is true?

1. $4^3$ = 3 $\times$ 3 $\times$ 3 $\times$ 3
2. $2^4$ = 2 $\times$ 2
3. $3^4$ = 3 $\times$ 3 $\times$ 3 $\times$ 3
4. $5^3$ = 3 $\times$ 3 $\times$ 3 $\times$ 3 $\times$ 3

Q. Which of the following is a true expression?

1. 
   $2^3$ = 16
2. $3^3$ = 81
3. 
   $4^3$ = 74
4. $6^3$ = 216

Q. Which of the following gives the value of x in the given expression?
$2^5$ = x

1. 64
2. 16
3. 32
4. 25

Q.

Write the exponential form of:-

$7\times x\times x\times x\times y\times y\times z\times z\times z$

Q. Which of the following numbers represents $60$ million?

1. $60\times {10}^5$
2. $600\times {10}^6$
3. $6\times {10}^7$
4. $6\times {10}^6$

Q. Which of the following gives the value of x in the given expression?

$4^x$ = 64

1. 1
2. 2
3. 3
4. 4

Q. The values of ${10}^2$ and ${10}^3$ are and , respectively.

1. $1,000$
2. $10$
3. $10,000$
4. $100$

Q. Melanie is solving a puzzle. Help her find the possible values of x and y which are true for the given expression.

$3^x$ = y

1. x = 3, y = 9
2. x = 4, y = 27
3. x = 5, y = 81
4. x = 6, y = 729

Q. Match the following multiplication results:

1. $1,200$
2. $90$
3. $8$

Q. Which of the following values of x satisfies the given equation?
$8^x=4096$

1. 1
2. 4
3. 2
4. 3

Q. Which of the following values is the closest to $200$ square feet?

1. ${14}^2$ square feet
2. ${15}^2$ square feet
3. ${16}^2$ square feet

Q.

Write in the index (exponential) notation.

$3\times 3\times 3\times 3\times 3\times 3\times 3\times 3$

Q.

If $\mathrm{x}=4$ , $\mathrm{y}=3$, $\mathrm{z}=1$ then $2\mathrm{x}+\mathrm{y}+1$ is :

1. $10$

2. $11$

3. $12$

4. $13$

Q.

Write in the index (exponential) notation.

$2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2$

Q.

Write in the index (exponential) notation.

$7\times 7\times 7\times 7\times 7$

Q.

Write in the index (exponential) notation.

$10\times 10\times 10\times 10$

Q.

Write in the index (exponential) notation.

$4\times 4\times 4\times 4\times 5\times 5\times 5$

Q.

Write the given expression in exponential form:

$b\times b\times b\times b$