Solve 7^3/7^5=7^3*7^3

$$\frac{ { 7 }^{ 3 } }{ { 7 }^{ 5 } } = { 7 }^{ 3 } \times { 7 }^{ 3 }$$

Verify

Solution Steps

Rewrite 7^{5} as 7^{3}\times 7^{2}. Cancel out 7^{3} in both numerator and denominator.

$$\frac{1}{7^{2}}=7^{3}\times 7^{3}$$

To multiply powers of the same base, add their exponents. Add 3 and 3 to get 6.

$$\frac{1}{7^{2}}=7^{6}$$

Calculate 7 to the power of 2 and get 49.

$$\frac{1}{49}=7^{6}$$

Calculate 7 to the power of 6 and get 117649.

$$\frac{1}{49}=117649$$

Convert 117649 to fraction \frac{5764801}{49}.

$$\frac{1}{49}=\frac{5764801}{49}$$

Compare \frac{1}{49} and \frac{5764801}{49}.

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