Properties of Exponents

1 (Any non-zero number raised to the power of 0 is 1)

$$m^{50}$$ (Use the power of a power property: multiply the exponents)

$$x^7$$ (Use the product of powers property: add the exponents)

$$x^5$$ (Use the quotient of powers property: subtract the exponents)

$$\frac{9}{4}$$ (Negative exponent means take the reciprocal and square it)

$$x^{a+b}$$ (Add the exponents when multiplying like bases)

$$x^{a-b}$$ (Subtract the exponents when dividing like bases)

1 (Any non-zero number raised to the power of 0 is 1)

$$a^{m \cdot n}$$ (Multiply the exponents when raising a power to a power)

$$x^3$$ (Negative exponent means take the reciprocal)