Solve {l}{(-2)*(-2)=4}{(0,1)^-2:100^-2=10}

$$\left. \begin{array} { l } { ( - 2 ) \times ( - 2 ) = 4 } \\ { ( 0,1 ) ^ { - 2 } : 100 ^ { - 2 } = 10 } \end{array} \right.$$

Verify

Solution Steps

Multiply -2 and -2 to get 4.

$$4=4\text{ and }\frac{0,1^{-2}}{100^{-2}}=10$$

Compare 4 and 4.

$$\text{true}\text{ and }\frac{0,1^{-2}}{100^{-2}}=10$$

Calculate 0,1 to the power of -2 and get 100.

$$\text{true}\text{ and }\frac{100}{100^{-2}}=10$$

Calculate 100 to the power of -2 and get \frac{1}{10000}.

$$\text{true}\text{ and }\frac{100}{\frac{1}{10000}}=10$$

Divide 100 by \frac{1}{10000} by multiplying 100 by the reciprocal of \frac{1}{10000}.

$$\text{true}\text{ and }100\times 10000=10$$

Multiply 100 and 10000 to get 1000000.

$$\text{true}\text{ and }1000000=10$$

Compare 1000000 and 10.

$$\text{true}\text{ and }\text{false}$$

The conjunction of \text{true} and \text{false} is \text{false}.

$$\text{false}$$