Solve 4,2*10^3*3,2*10^-2/7*10^2*0,8*10^-3=0

$$\frac { 4,2 \cdot 10 ^ { 3 } \cdot 3,2 \cdot 10 ^ { - 2 } } { 7 \cdot 10 ^ { 2 } \cdot 0,8 \cdot 10 ^ { - 3 } } = 0$$

Verify

Solution Steps

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

$$\frac{4,2\times 10^{1}\times 3,2}{7\times 10^{2}\times 0,8\times 10^{-3}}=0$$

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

$$\frac{4,2\times 10^{1}\times 3,2}{7\times 10^{-1}\times 0,8}=0$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{3,2\times 4,2\times 10^{2}}{0,8\times 7}=0$$

Multiply 3,2 and 4,2 to get 13,44.

$$\frac{13,44\times 10^{2}}{0,8\times 7}=0$$

Calculate 10 to the power of 2 and get 100.

$$\frac{13,44\times 100}{0,8\times 7}=0$$

Multiply 13,44 and 100 to get 1344.

$$\frac{1344}{0,8\times 7}=0$$

Multiply 0,8 and 7 to get 5,6.

$$\frac{1344}{5,6}=0$$

Expand \frac{1344}{5,6} by multiplying both numerator and the denominator by 10.

$$\frac{13440}{56}=0$$

Divide 13440 by 56 to get 240.

$$240=0$$

Compare 240 and 0.

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