What is 2.3*10^{-14}*0.133^7*40^2 ?

The solution to 2.3*10^{-14}*0.133^7*40^2 is (6.7725E15)/(5^{14)*4.096E22}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2.310^{-14}0.133^7*40^2

simplify

2.3 \cdot 1 0^{- 14} \cdot 0.13 3^{7} \cdot 4 0^{2}

\frac{6.7725 E 15}{5 ^{14} \cdot 4.096 E 22}

Decimal Notation

2.709 E - 17

Solution steps

2.3 \cdot 1 0^{- 14} \cdot 0.13 3^{7} \cdot 4 0^{2}

Apply exponent rule:

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

1 0^{- 14} = \frac{1}{1 0 ^{14}}

= 2.3 \cdot \frac{1}{1 0 ^{14}} \cdot 0.13 3^{7} \cdot 4 0^{2}

0.13 3^{7} = 7.36142 E - 7

= 2.3 \cdot \frac{1}{1 0 ^{14}} \cdot 7.36142 E - 7 \cdot 4 0^{2}

4 0^{2} = 1600

= 2.3 \cdot \frac{1}{1 0 ^{14}} \cdot 7.36142 E - 7 \cdot 1600

Multiply the numbers:

2.3 \cdot 7.36142 E - 7 \cdot 1600 = 0.00270 \dots

= 0.00270 \dots \cdot \frac{1}{1 0 ^{14}}

0.00270 \dots \cdot \frac{1}{1 0 ^{14}} = \frac{0.00270 \dots}{1 0 ^{14}}

= \frac{0.00270 \dots}{1 0 ^{14}}

\frac{0.00270 \dots}{1 0 ^{14}} = \frac{2.709 E 16}{1.0 E 19 \cdot 1 0 ^{14}}

= \frac{2.709 E 16}{1.0 E 19 \cdot 1 0 ^{14}}

Factor

2.709 E 16 : 2^{2} \cdot 6.7725 E 15

= \frac{2 ^{2} \cdot 6.7725 E 15}{1.0 E 19 \cdot 1 0 ^{14}}

Factor

1 0^{14} : 2^{14} \cdot 5^{14}

= \frac{2 ^{2} \cdot 6.7725 E 15}{1.0 E 19 \cdot 2 ^{14} \cdot 5 ^{14}}

\frac{2 ^{2}}{2 ^{14}} = \frac{1}{2 ^{12}}

= \frac{6.7725 E 15}{1.0 E 19 \cdot 2 ^{12} \cdot 5 ^{14}}

1.0 E 19 \cdot 2^{12} \cdot 5^{14} = 5^{14} \cdot 4.096 E 22

= \frac{6.7725 E 15}{5 ^{14} \cdot 4.096 E 22}

2 x e^{- x^{2}}

(2 - x^{2})^{3}

e^{- 2 (t - l n (3))}

sin (t - 1) \cdot e^{- t} \cdot e^{- s}

5.25 \cdot 1 0^{- 2}

What is 2.3*10^{-14}*0.133^7*40^2 ?
The solution to 2.3*10^{-14}*0.133^7*40^2 is (6.7725E15)/(5^{14)*4.096E22}