IMO Olympiad Work Book 8>Chapter 12 - Exponents and Powers>MATHEMATICAL REASONING>Q 3

EASY

8th Foundation

IMPORTANT

Earn 100

The value of $x + x (x^{x})$ at $x = 2$ is

40% studentsanswered this correctly

Important Questions on Exponents and Powers

HARD

8th Foundation

IMPORTANT

IMO Olympiad Work Book 8>Chapter 12 - Exponents and Powers>MATHEMATICAL REASONING>Q 4

If

{(6 x)}^{6} = {6^{2}}^{3}

, then find the value of

x

.

EASY

8th Foundation

IMPORTANT

IMO Olympiad Work Book 8>Chapter 12 - Exponents and Powers>MATHEMATICAL REASONING>Q 5

Find the value of

{(0.000064)}^{\frac{5}{6}} \div {(0.00032)}^{\frac{6}{5}}

EASY

8th Foundation

IMPORTANT

IMO Olympiad Work Book 8>Chapter 12 - Exponents and Powers>MATHEMATICAL REASONING>Q 6

If

x = {(\frac{3}{2})}^{2} \times {(\frac{2}{3})}^{- 4}

, then find the value of

x^{- 2}

.

HARD

8th Foundation

IMPORTANT

IMO Olympiad Work Book 8>Chapter 12 - Exponents and Powers>MATHEMATICAL REASONING>Q 7

If

a^{x} = b^{y} = c^{z}

and

b^{2} = a c

, then

y

equals

HARD

8th Foundation

IMPORTANT

IMO Olympiad Work Book 8>Chapter 12 - Exponents and Powers>MATHEMATICAL REASONING>Q 8

If

\frac{10}{3} \times 3^{x} - 3^{x - 1} = 81

, then the value of

x

is

EASY

8th Foundation

IMPORTANT

IMO Olympiad Work Book 8>Chapter 12 - Exponents and Powers>MATHEMATICAL REASONING>Q 9

Which of the following value are equal?

$P =$ $1^{4}$ , $Q$ $= 4^{0}$ , $R$ $= 0^{4}$ and $S$ $= 4^{1}$

EASY

8th Foundation

IMPORTANT

IMO Olympiad Work Book 8>Chapter 12 - Exponents and Powers>MATHEMATICAL REASONING>Q 10

The value of

{(7^{- 1} - 8^{- 1})}^{- 1} - {(3^{- 1} - 4^{- 1})}^{- 1}

is

HARD

8th Foundation

IMPORTANT

IMO Olympiad Work Book 8>Chapter 12 - Exponents and Powers>MATHEMATICAL REASONING>Q 11

When

5 \times 10^{- 3} - 2000 \times 10^{- 6}

is expressed in standard form, we will get