What is the multiplicative inverse of 9 8 4 ?

Given, 9 8 4 We know, if n is a positive integer then the multiplicative inverse of a n is a - n . Hence, the multiplicative inverse of 9 8 4 is 9 8 - 4 .

EASY

Earn 100

Write the multiplicative inverse of the following with a negative exponent.
${(\frac{2}{11})}^{- 5}$

Important Questions on Exponents and Powers

EASY

Mathematics>Arithmetic>Exponents and Powers>Powers with Negative Exponents

4^{x} . 8^{y} = 128

and

\frac{3^{x}}{27^{y}} = \frac{1}{3}

, then find the values of

x

and

y

EASY

Mathematics>Arithmetic>Exponents and Powers>Powers with Negative Exponents

If $a, m and n$ are rational numbers, then $a^{m} \times a^{n} = a^{p}$ . Then the value of $p =$ _____.

EASY

Mathematics>Arithmetic>Exponents and Powers>Powers with Negative Exponents

What is the number of digits in

7^{25}

8^{23}

and

9^{20}

respectively? [Given

\log_{10} (2) = 0.301

\log_{10} (3) = 0.477

\log_{10} (7) = 0.845

]

EASY

Mathematics>Arithmetic>Exponents and Powers>Powers with Negative Exponents

Find the value of '

a

' from the following

{(\sqrt{9})}^{- 5} \times {(\sqrt{3})}^{- 7} = {(\sqrt{3})}^{- a}

HARD

Mathematics>Arithmetic>Exponents and Powers>Powers with Negative Exponents

Consider the sequence

1, 7, 8, 49, 50, 56, 57, 343, . . . . . . . . .

which consists of sums of distinct powers of

7

that is

7^{0}, 7^{1}, 7^{0} + 7^{1}, 7^{2}, . . . . . . .

in increasing order. At what position will

16856

occurs in this sequence?

MEDIUM

Mathematics>Arithmetic>Exponents and Powers>Powers with Negative Exponents

{[\frac{9^{(n + \frac{1}{4})} \sqrt{3 \cdot 3^{n}}}{3 \sqrt{3^{- n}}}]}^{\frac{1}{n}} =

EASY

Mathematics>Arithmetic>Exponents and Powers>Powers with Negative Exponents

What is the number of digit in

2^{40}

? (Given that

\log_{10} 2 = 0.301

)

MEDIUM

Mathematics>Arithmetic>Exponents and Powers>Powers with Negative Exponents

Find the value of

{[{(\frac{2}{3})}^{2}]}^{2}

HARD

Mathematics>Arithmetic>Exponents and Powers>Powers with Negative Exponents

In base

- 2

notation, digits are

0

and

1

only and the places go up in powers of

- 2

. For example,

11011

stands for

{(- 2)}^{4} + {(- 2)}^{3} + {(- 2)}^{1} + {(- 2)}^{0}

and equals number

7

in base

10

. If the decimal number

2019

is expressed in base

- 2

, how many non-zero digits does it contain?

EASY

Mathematics>Arithmetic>Exponents and Powers>Powers with Negative Exponents

Simplify

{(- 3)}^{5} \div {(- 3)}^{2}

MEDIUM

Mathematics>Arithmetic>Exponents and Powers>Powers with Negative Exponents

What is the remainder when we divide

5^{70} + 7^{70}

74

EASY

Mathematics>Arithmetic>Exponents and Powers>Powers with Negative Exponents

To what power

- 3

should be raised to get

- 2187 ?

HARD

Mathematics>Arithmetic>Exponents and Powers>Powers with Negative Exponents

x^{2 a} = y^{2 b} = z^{2 c} \neq 0

and

x^{2} = y z

, then value of

\frac{a b + b c + c a}{b c}

is:

EASY

Mathematics>Arithmetic>Exponents and Powers>Powers with Negative Exponents

If the reciprocal of

{(\frac{a b}{b d})}^{- 5}

is of the form

\frac{a^{k} b^{m}}{d^{k}}

, then find the value of

(k + m)

EASY

Mathematics>Arithmetic>Exponents and Powers>Powers with Negative Exponents

The value of

{(- 3)}^{- 4}

EASY

Mathematics>Arithmetic>Exponents and Powers>Powers with Negative Exponents

If the reciprocal of

{(\frac{1}{a b c})}^{4}

is of the form

a^{k} b^{k} c^{k}

, then find the value

k

EASY

Mathematics>Arithmetic>Exponents and Powers>Powers with Negative Exponents

Write down the reciprocal of the following.

{(\frac{3}{7})}^{- 4}

EASY

Mathematics>Arithmetic>Exponents and Powers>Powers with Negative Exponents

What is the multiplicative inverse of ${(\frac{9}{8})}^{4}$ ?

MEDIUM

Mathematics>Arithmetic>Exponents and Powers>Powers with Negative Exponents

{(\frac{1}{2})}^{- 2} + {(\frac{1}{3})}^{- 2} + {(\frac{1}{4})}^{- 2} = ?

EASY

Mathematics>Arithmetic>Exponents and Powers>Powers with Negative Exponents

If the reciprocal of

{(\frac{x^{4} y^{6}}{a^{2} b^{7}})}^{- 3}

is of the form

\frac{x^{p} y^{q}}{a^{r} b^{s}}

, then find the value of

p + q + r + s

Write the multiplicative inverse of the following with a negative exponent. 211-5

Important Questions on Exponents and Powers

Learn and Prepare for any exam you want !

Write the multiplicative inverse of the following with a negative exponent.
${(\frac{2}{11})}^{- 5}$