Solve (log10(1) * (1/5) log10(1 1/5) * (1/5) log10(1

Question

Simplify the expression

\frac{572 l ^{3} o ^{3} g ^{3}}{15}

Evaluate

\frac{( l o g \times 10 \times 1 \times \frac{1}{5} l o g \times 10 \times \frac{11}{5} \times \frac{1}{5} l o g \times 10 \times \frac{13}{5} \times 1 )}{6}

Remove the parentheses

\frac{l o g \times 10 \times 1 \times \frac{1}{5} l o g \times 10 \times \frac{11}{5} \times \frac{1}{5} l o g \times 10 \times \frac{13}{5} \times 1}{6}

Rewrite the expression in exponential form

\frac{l ^{3} o ^{3} g ^{3} \times 1 0 ^{3} \times 1 \times \frac{1}{5} \times \frac{11}{5} \times \frac{1}{5} \times \frac{13}{5} \times 1}{6}

Any expression multiplied by 1 remains the same

\frac{l ^{3} o ^{3} g ^{3} \times 1 0 ^{3} \times \frac{1}{5} \times \frac{11}{5} \times \frac{1}{5} \times \frac{13}{5}}{6}

Multiply the terms

More Steps

\frac{l ^{3} o ^{3} g ^{3} \times 1 0 ^{3} \times \frac{143}{625}}{6}

Factor the expression

More Steps

\frac{l ^{3} o ^{3} g ^{3} \times 2 ^{3} \times 5 ^{3} \times \frac{143}{625}}{6}

Factor the expression

\frac{l ^{3} o ^{3} g ^{3} \times 2 ^{3} \times 5 ^{3} \times \frac{143}{625}}{2 \times 3}

Reduce the fraction

More Steps

\frac{l ^{3} o ^{3} g ^{3} \times 2 ^{2} \times 5 ^{3} \times \frac{143}{625}}{3}

Simplify

More Steps

\frac{\frac{572}{5} l ^{3} o ^{3} g ^{3}}{3}

Rewrite the expression

\frac{\frac{572 l ^{3} o ^{3} g ^{3}}{5}}{3}

Multiply by the reciprocal

\frac{572 l ^{3} o ^{3} g ^{3}}{5} \times \frac{1}{3}

Multiply the terms

\frac{572 l ^{3} o ^{3} g ^{3}}{5 \times 3}

Solution

\frac{572 l ^{3} o ^{3} g ^{3}}{15}

Show Solution