Question Detail

Find the value of
$\begin{aligned} (10)^{150} \div (10)^{146} \end{aligned}$

10
100
1000
10000

Answer: Option D

Explanation:

$\begin{aligned} = \frac{(10)^{150}}{(10)^{146}} = 10^4 = 10000 \end{aligned}$

1. Evaluate $\begin{aligned} 256^{0.16} \times (256)^{0.09} \end{aligned}$

Answer: Option B

Explanation:

$\begin{aligned} = 256^{0.16+0.09} = 256^{0.25} = 256^{\frac{25}{100}} \end{aligned}$

$\begin{aligned} = 256^{\frac{1}{4}}= (4^4)^{\frac{1}{4}} \end{aligned}$

$\begin{aligned} =(4)^{4 \times \frac{1}{4}} = 4 \end{aligned}$

2. $\begin{aligned} \text{if }6^m = 46656, \\\text{ What is the value of }6^{m-2} \end{aligned}$

7776
7782
1296
1290

Answer: Option C

Explanation:

$\begin{aligned} 6^{m-2}\\ = \dfrac{6^m}{6^2}\\ = \dfrac{46656}{6^2}\\ = \dfrac{46656}{36} = 1296 \end{aligned}$

3. $\begin{aligned} \text{If }2x = \sqrt[3]{32}, \text{ then x is equal to} \end{aligned}$

$\begin{aligned} \frac{5}{2} \end{aligned}$
$\begin{aligned} \frac{2}{5} \end{aligned}$
$\begin{aligned} \frac{3}{5} \end{aligned}$
$\begin{aligned} \frac{5}{3} \end{aligned}$

Answer: Option D

Explanation:

$\begin{aligned} = (32)^{\frac{1}{3}}\\ = (2^5)^{\frac{1}{3}}\\ = 2^{\frac{5}{3}}\\ => x= \frac{5}{3} \end{aligned}$

4. Find the value of
$\begin{aligned} (10)^{150} \div (10)^{146} \end{aligned}$

10
100
1000
10000

Answer: Option D

Explanation:

$\begin{aligned} = \frac{(10)^{150}}{(10)^{146}} = 10^4 = 10000 \end{aligned}$

5. $\begin{aligned} x = 3 + 2\sqrt{2}, \text{ then the value of }\\ (\sqrt{x} - \frac{1}{\sqrt{x}}) \end{aligned}$

Answer: Option B

Explanation:

Clue:

$\begin{aligned} (\sqrt{x} - \frac{1}{\sqrt{x}})^2 = x + \frac{1}{x} - 2 \ \end{aligned}$
Now put the value of x to calculate the answer :)

Question Detail

Find the value of
$\begin{aligned} (10)^{150} \div (10)^{146} \end{aligned}$

1. Evaluate $\begin{aligned} 256^{0.16} \times (256)^{0.09} \end{aligned}$

2. $\begin{aligned} \text{if }6^m = 46656, \\\text{ What is the value of }6^{m-2} \end{aligned}$

3. $\begin{aligned} \text{If }2x = \sqrt[3]{32}, \text{ then x is equal to} \end{aligned}$

4. Find the value of
$\begin{aligned} (10)^{150} \div (10)^{146} \end{aligned}$

5. $\begin{aligned} x = 3 + 2\sqrt{2}, \text{ then the value of }\\ (\sqrt{x} - \frac{1}{\sqrt{x}}) \end{aligned}$

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Question Detail

Find the value of (10)150÷(10)146\begin{aligned} (10)^{150} \div (10)^{146} \end{aligned}

1. Evaluate 2560.16×(256)0.09\begin{aligned} 256^{0.16} \times (256)^{0.09} \end{aligned}

2. if 6m=46656, What is the value of 6m−2\begin{aligned} \text{if }6^m = 46656, \\\text{ What is the value of }6^{m-2} \end{aligned}

3. If 2x=3√32, then x is equal to\begin{aligned} \text{If }2x = \sqrt[3]{32}, \text{ then x is equal to} \end{aligned}

4. Find the value of (10)150÷(10)146\begin{aligned} (10)^{150} \div (10)^{146} \end{aligned}

5. x=3+2√2, then the value of (√x−1√x)\begin{aligned} x = 3 + 2\sqrt{2}, \text{ then the value of }\\ (\sqrt{x} - \frac{1}{\sqrt{x}}) \end{aligned}

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Find the value of
$\begin{aligned} (10)^{150} \div (10)^{146} \end{aligned}$

1. Evaluate $\begin{aligned} 256^{0.16} \times (256)^{0.09} \end{aligned}$

2. $\begin{aligned} \text{if }6^m = 46656, \\\text{ What is the value of }6^{m-2} \end{aligned}$

3. $\begin{aligned} \text{If }2x = \sqrt[3]{32}, \text{ then x is equal to} \end{aligned}$

4. Find the value of
$\begin{aligned} (10)^{150} \div (10)^{146} \end{aligned}$

5. $\begin{aligned} x = 3 + 2\sqrt{2}, \text{ then the value of }\\ (\sqrt{x} - \frac{1}{\sqrt{x}}) \end{aligned}$