en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 7^3*7^{-5}

Solution

simplify

7^{3} \cdot 7^{- 5}

Solution

\frac{1}{49}

+1

Decimal Notation

0.02040 \dots

Solution steps

7^{3} \cdot 7^{- 5}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

7^{3} \cdot 7^{- 5} = 7^{3 - 5}

= 7^{3 - 5}

Subtract the numbers:

3 - 5 = - 2

= 7^{- 2}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

7^{- 2} = \frac{1}{7 ^{2}}

= \frac{1}{7 ^{2}}

7^{2} = 49

= \frac{1}{49}

Popular Examples

simplify a/(\sqrt[5]{a^4)}simplify

simplify-3sqrt(25)simplify

- 325

simplify 3(5sqrt(2))simplify

3 (52)

simplify (2+(-3))/2 simplify

\frac{2 + ( - 3 )}{2}

simplify 5x-8y+3z+10x+3y+z+5x-2y-5z simplify

5 x - 8 y + 3 z + 10 x + 3 y + z + 5 x - 2 y - 5 z

Frequently Asked Questions (FAQ)

What is 7^3*7^{-5} ?
The solution to 7^3*7^{-5} is 1/49