For any two non-zero rational numbers x and y, x⁵ ÷ y⁵ is equal to.

The value of \(\frac { { 10 }^{ 22 }+{ 10 }^{ 20 } }{ 10^{ 20 } } \) is

\(\left( \frac { 2 }{ 3 } \right) ^{ 3 }\times \left( \frac { 5 }{ 7 } \right) ^{ 3 }\) is equal to

The reciprocal of \(\left( \frac { -2 }{ 5 } \right) ^{ 2 }\) is

(- 4)⁴ x (-2)⁰  x (-1)²⁰² is equal to

If \(\left( \frac { 5 }{ 3 } \right) ^{ 5 }\times \ \left( \frac { 5 }{ 3 } \right) ^{ 11 }=\left( \frac { 5 }{ 3 } \right) ^{ 8x }\), then the value of x is

If (3¹⁰² x 3¹⁰¹) ÷ 3¹⁰¹= k- 3¹⁰⁰, then the value of k

If \(\frac { a }{ b } =\left( \frac { 625 }{ 81 } \right) \div \left( \frac { { 5 }^{ 4 } }{ { 3 }^{ 4 } } \right) \), then the value of \(\left( \frac { a }{ b } \right) ^{ 5 }\) is

Standard form corresponding to the number 654300100 is

Find the value of 11²

Express the following in exponential form: t x t

Express the following in exponential form: b x b x b x b

Express the following in exponential form: a x a x a x c x c x c x c x d

Identify the greater number, wherever possible, in each of the following? 4³ or 3⁴

Identify the greater number, wherever possible, in each of the following? 5³ or 3⁵

Compare the following numbers: 2.7 x 10¹²; 1.5 x 10⁸

Express each of the following numbers using exponential notations.
1024

If \(\frac { p }{ q } ={ \left( \frac { 3 }{ 4 } \right) }^{ 18 }\div { \left( \frac { 3 }{ 4 } \right) }^{ 17 }\) , then find the value of \({ \left( \frac { p }{ q } \right) }^{ 3 }\)

Find m, so that \(\left( \frac { 2 }{ 9 } \right) ^{ 3 }\times \left( \frac { 2 }{ 9 } \right) ^{ 3 }=\left( \frac { 2 }{ 9 } \right) ^{ 2m-1 }\).

Write 8054000000 in standard form

Write the number 6.234269 x 10⁶ in the usual form.

A light year is a distance that light can travel in one year.
1 light year = 9,460,000,000,000 km
(a) Express one light year in scientific notation.
(b) The average distance between Earth and Sun is 1.496 x 10⁸ km. Is the distance between Earth and the Sun greater than, less than or equal to one light year?

Using laws of exponents, solve the following: \(\left[ { \left( \frac { -2 }{ 3 } \right) }^{ 4 }\times \left( \frac { 216 }{ 125 } \right) \right] \div \left[ { \left( \frac { 6 }{ 5 } \right) }^{ 2 }\times \left( \frac { 4 }{ 9 } \right) \right] \)