Solve (7*10^-6)(7*10^-6)=4.9*10^-13

$$(7 \times { 10 }^{ -6 } )(7 \times { 10 }^{ -6 } )=4.9 \times { 10 }^{ -13 }$$

Verify

Solution Steps

To multiply powers of the same base, add their exponents. Add -6 and -6 to get -12.

$$7\times 10^{-12}\times 7=4.9\times 10^{-13}$$

Calculate 10 to the power of -12 and get \frac{1}{1000000000000}.

$$7\times \frac{1}{1000000000000}\times 7=4.9\times 10^{-13}$$

Multiply 7 and \frac{1}{1000000000000} to get \frac{7}{1000000000000}.

$$\frac{7}{1000000000000}\times 7=4.9\times 10^{-13}$$

Multiply \frac{7}{1000000000000} and 7 to get \frac{49}{1000000000000}.

$$\frac{49}{1000000000000}=4.9\times 10^{-13}$$

Calculate 10 to the power of -13 and get \frac{1}{10000000000000}.

$$\frac{49}{1000000000000}=4.9\times \frac{1}{10000000000000}$$

Multiply 4.9 and \frac{1}{10000000000000} to get \frac{49}{100000000000000}.

$$\frac{49}{1000000000000}=\frac{49}{100000000000000}$$

Least common multiple of 1000000000000 and 100000000000000 is 100000000000000. Convert \frac{49}{1000000000000} and \frac{49}{100000000000000} to fractions with denominator 100000000000000.

$$\frac{4900}{100000000000000}=\frac{49}{100000000000000}$$

Compare \frac{4900}{100000000000000} and \frac{49}{100000000000000}.

$$\text{false}$$