Solve 7^86 * 8^39 * 56^44 * 7^39 * 8 ^ 86 = 56^2y

Question

Solve the equation

y = 729 \times 7^{9} \times 2^{31} \times 5 6^{4}

Alternative Form

y \approx 6.212864 \times 1 0^{26}

Evaluate

7^{8} \times 6 \times 8^{3} \times 9 \times 5 6^{4} \times 4 \times 7^{3} \times 9 \times 8^{8} \times 6 = 5 6^{2} y

Multiply

More Steps

2916 \times 7^{11} \times 2^{35} \times 5 6^{4} = 5 6^{2} y

Swap the sides of the equation

5 6^{2} y = 2916 \times 7^{11} \times 2^{35} \times 5 6^{4}

Divide both sides

\frac{5 6 ^{2} y}{5 6 ^{2}} = \frac{2916 \times 7 ^{11} \times 2 ^{35} \times 5 6 ^{4}}{5 6 ^{2}}

Divide the numbers

y = \frac{2916 \times 7 ^{11} \times 2 ^{35} \times 5 6 ^{4}}{5 6 ^{2}}

Solution

More Steps

y = 729 \times 7^{9} \times 2^{31} \times 5 6^{4}

Alternative Form

y \approx 6.212864 \times 1 0^{26}

Show Solution

y = 729 \times 7^{9} \times 2^{31} \times 5 6^{4}

Show Solution