Solve 2^4*5^2=(2*5)*(2*5)*2^2

$$2 ^ { 4 } \times 5 ^ { 2 } = ( 2 \times 5 ) \times ( 2 \times 5 ) \times 2 ^ { 2 }$$

Verify

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$2^{4}\times 5^{2}=2^{3}\times 5\times 2\times 5$$

Calculate 2 to the power of 4 and get 16.

$$16\times 5^{2}=2^{3}\times 5\times 2\times 5$$

Calculate 5 to the power of 2 and get 25.

$$16\times 25=2^{3}\times 5\times 2\times 5$$

Multiply 16 and 25 to get 400.

$$400=2^{3}\times 5\times 2\times 5$$

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

$$400=2^{4}\times 5\times 5$$

Calculate 2 to the power of 4 and get 16.

$$400=16\times 5\times 5$$

Multiply 16 and 5 to get 80.

$$400=80\times 5$$

Multiply 80 and 5 to get 400.

$$400=400$$

Compare 400 and 400.

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