en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (9*10^{-9})^2

Solution

simplify

(9 \cdot 1 0^{- 9})^{2}

Solution

\frac{81}{1 0 ^{18}}

+1

Decimal

8.1 E - 17

Solution steps

(9 \cdot 1 0^{- 9})^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(9 \cdot 1 0^{- 9})^{2} = 9^{2} (1 0^{- 9})^{2}

= 9^{2} (1 0^{- 9})^{2}

9^{2} = 81

= 81 (1 0^{- 9})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

(1 0^{- 9})^{2} = 1 0^{- 9 \cdot 2}

= 81 \cdot 1 0^{- 9 \cdot 2}

Multiply the numbers:

9 \cdot 2 = 18

= 81 \cdot 1 0^{- 18}

Apply exponent rule:

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

1 0^{- 18} = \frac{1}{1 0 ^{18}}

= 81 \cdot \frac{1}{1 0 ^{18}}

81 \cdot \frac{1}{1 0 ^{18}} = \frac{81}{1 0 ^{18}}

= \frac{81}{1 0 ^{18}}

Popular Examples

factor 2x^3+4x^2-3x-6 factor

2 x^{3} + 4 x^{2} - 3 x - 6

expand (4x^3+15)(4x^3+5)expand

(4 x^{3} + 15) (4 x^{3} + 5)

simplify 1^{7/2}simplify

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

simplify 13-(-4)simplify

13 - (- 4)

simplify 13-(-2)simplify

13 - (- 2)

Frequently Asked Questions (FAQ)

What is (9*10^{-9})^2 ?
The solution to (9*10^{-9})^2 is (81)/(10^{18)}