Solve a^36 8/256 a16 8/128

Question

Simplify the expression

\frac{49601}{512} a^{4}

Evaluate

a^{3} \times 6 \frac{8}{256} \times a \times 16 \frac{8}{128}

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

6 \frac{8}{256}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{6 \times 256 + 8}{256}

Multiply the terms

\frac{1536 + 8}{256}

Add the terms

\frac{1544}{256}

a^{3} \times \frac{1544}{256} a \times 16 \frac{8}{128}

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

16 \frac{8}{128}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{16 \times 128 + 8}{128}

Multiply the terms

\frac{2048 + 8}{128}

Add the terms

\frac{2056}{128}

a^{3} \times \frac{1544}{256} a \times \frac{2056}{128}

Multiply the terms with the same base by adding their exponents

a^{3 + 1} \times \frac{1544}{256} \times \frac{2056}{128}

Add the numbers

a^{4} \times \frac{1544}{256} \times \frac{2056}{128}

Multiply the terms

More Steps

Evaluate

\frac{1544}{256} \times \frac{2056}{128}

Reduce the numbers

\frac{193}{256} \times \frac{2056}{16}

Reduce the numbers

\frac{193}{32} \times \frac{257}{16}

To multiply the fractions,multiply the numerators and denominators separately

\frac{193 \times 257}{32 \times 16}

Multiply the numbers

\frac{49601}{32 \times 16}

Multiply the numbers

\frac{49601}{512}

a^{4} \times \frac{49601}{512}

Solution

\frac{49601}{512} a^{4}

Show Solution

Find the roots

a = 0

Evaluate

a^{3} \times 6 \frac{8}{256} \times a \times 16 \frac{8}{128}

To find the roots of the expression,set the expression equal to 0

a^{3} \times 6 \frac{8}{256} \times a \times 16 \frac{8}{128} = 0

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

6 \frac{8}{256}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{6 \times 256 + 8}{256}

Multiply the terms

\frac{1536 + 8}{256}

Add the terms

\frac{1544}{256}

a^{3} \times \frac{1544}{256} a \times 16 \frac{8}{128} = 0

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

16 \frac{8}{128}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{16 \times 128 + 8}{128}

Multiply the terms

\frac{2048 + 8}{128}

Add the terms

\frac{2056}{128}

a^{3} \times \frac{1544}{256} a \times \frac{2056}{128} = 0

Multiply

More Steps

Multiply the terms

a^{3} \times \frac{1544}{256} a \times \frac{2056}{128}

Multiply the terms with the same base by adding their exponents

a^{3 + 1} \times \frac{1544}{256} \times \frac{2056}{128}

Add the numbers

a^{4} \times \frac{1544}{256} \times \frac{2056}{128}

Multiply the terms

More Steps

Evaluate

\frac{1544}{256} \times \frac{2056}{128}

Reduce the numbers

\frac{193}{256} \times \frac{2056}{16}

Reduce the numbers

\frac{193}{32} \times \frac{257}{16}

To multiply the fractions,multiply the numerators and denominators separately

\frac{193 \times 257}{32 \times 16}

Multiply the numbers

\frac{49601}{32 \times 16}

Multiply the numbers

\frac{49601}{512}

a^{4} \times \frac{49601}{512}

Use the commutative property to reorder the terms

\frac{49601}{512} a^{4}

\frac{49601}{512} a^{4} = 0

Rewrite the expression

a^{4} = 0

Solution

a = 0

Show Solution