Solve 2^44^4/8^2-6^2+7-{7}^0+{2}^2{2}^3-6*5={3}^5

$$\frac{ { 2 }^{ 4 } { 4 }^{ 4 } }{ { 8 }^{ 2 } } - { 6 }^{ 2 } +7- { 7 }^{ 0 } + { 2 }^{ 2 } { 2 }^{ 3 } -6 \cdot 5 = { 3 }^{ 5 }$$

Verify

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 3 to get 5.

$$\frac{2^{4}\times 4^{4}}{8^{2}}-6^{2}+7-7^{0}+2^{5}-6\times 5=3^{5}$$

Calculate 2 to the power of 4 and get 16.

$$\frac{16\times 4^{4}}{8^{2}}-6^{2}+7-7^{0}+2^{5}-6\times 5=3^{5}$$

Calculate 4 to the power of 4 and get 256.

$$\frac{16\times 256}{8^{2}}-6^{2}+7-7^{0}+2^{5}-6\times 5=3^{5}$$

Multiply 16 and 256 to get 4096.

$$\frac{4096}{8^{2}}-6^{2}+7-7^{0}+2^{5}-6\times 5=3^{5}$$

Calculate 8 to the power of 2 and get 64.

$$\frac{4096}{64}-6^{2}+7-7^{0}+2^{5}-6\times 5=3^{5}$$

Divide 4096 by 64 to get 64.

$$64-6^{2}+7-7^{0}+2^{5}-6\times 5=3^{5}$$

Calculate 6 to the power of 2 and get 36.

$$64-36+7-7^{0}+2^{5}-6\times 5=3^{5}$$

Subtract 36 from 64 to get 28.

$$28+7-7^{0}+2^{5}-6\times 5=3^{5}$$

Add 28 and 7 to get 35.

$$35-7^{0}+2^{5}-6\times 5=3^{5}$$

Calculate 7 to the power of 0 and get 1.

$$35-1+2^{5}-6\times 5=3^{5}$$

Subtract 1 from 35 to get 34.

$$34+2^{5}-6\times 5=3^{5}$$

Calculate 2 to the power of 5 and get 32.

$$34+32-6\times 5=3^{5}$$

Add 34 and 32 to get 66.

$$66-6\times 5=3^{5}$$

Multiply 6 and 5 to get 30.

$$66-30=3^{5}$$

Subtract 30 from 66 to get 36.

$$36=3^{5}$$

Calculate 3 to the power of 5 and get 243.

$$36=243$$

Compare 36 and 243.

$$\text{false}$$