Week 3- Math 10

Exponent Laws

Multiplication Law: $x^5\cdot x^5=x^{10}$

The multiplication law tells us that we need to add the exponents of 2 of the same base to find the answer.

Division Law: $x^{20}\div x^{10}=x^{10}$

The division law tells us that we need to subtract the exponents of 2 of the same base to find the answer.

Power Law: $(x^5)^2=x^10$

The power law tells us that we need to multiply the exponents when we have an exponent, followed with a bracket and another exponent.

Negative Integer Law: $\frac {1}{x^{-10}}=\frac {x^{10}}{1}$

The negative (integer) law tells us that we need to reciprocate the number and adding a 1 to the fraction. (*upstairs and downstairs method)

Fraction Law: $x\frac {100}{10}=\sqrt[10][x^{100}]$

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