Algebra Examples

$\frac{2^{7} \cdot 10^{18}}{4^{12} \cdot {0.04}^{- 9}}$

Step 1

Move ${0.04}^{- 9}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{2^{7} \cdot 10^{18} \cdot {0.04}^{9}}{4^{12}}$

Step 2

Simplify the numerator.

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Step 2.1

Raise $2$ to the power of $7$ .

$\frac{128 \cdot 10^{18} \cdot {0.04}^{9}}{4^{12}}$

Step 2.2

Raise $0.04$ to the power of $9$ .

$\frac{128 \cdot 10^{18} \cdot 0}{4^{12}}$

Step 2.3

Multiply $0$ by $128$ .

$\frac{0 \cdot 10^{18}}{4^{12}}$

Step 2.4

Raise $10$ to the power of $18$ .

$\frac{0 \cdot 1000000000000000000}{4^{12}}$

Step 3

Simplify the expression.

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Step 3.1

Raise $4$ to the power of $12$ .

$\frac{0 \cdot 1000000000000000000}{16777216}$

Step 3.2

Multiply $0$ by $1000000000000000000$ .

$\frac{33554432}{16777216}$

Step 3.3

Divide $33554432$ by $16777216$ .

$2$