Properties Of Exponents Rules Math

82 8 8 64.

Properties of exponents rules math. 1 x a x a x a a x 0. Negative exponents are the reciprocals of the positive exponents. X n x m x n m. Properties of exponents we will show 8 properties of exponents.

X a 1 x a x 0. Let x and y be numbers that are not equal to zero and let n and m be any integers. 8 2 could be called 8 to the second power 8 to the power 2 or simply 8 squared. X n cdot x m x n m xn xm xn m.

The exponent of a number says how many times to use the number in a multiplication. 2 x 2 y 0 1. X start superscript n end superscript dot x start superscript m end superscript equals x start superscript n plus m end superscript. Y y is not equal to zero we can definitely apply the zero rule of exponent here as well.

This property states that when multiplying two powers with the same base we add the exponents. Power rule with radicals. 2 3 2 2 3 2 2 6 2 2 2 2 2 2 64. One of the laws of exponents states that n x n y n x y meaning that when we divide one base number represented with an exponent the same base number represented with an exponent the answer will the base number to the power of the difference of the exponents.

We also assume that no denominators are equal to zero. An m a n m. Left 2 x 2 y right 0 1 2x2y 0 1. Each expression with a parenthesis raised to the power of zero 0.

X 0 1 x 0. Following that law consider the number 2 3 2 3. Simplify the exponential expression below. When you raise a number to a zero power you ll always get 1.

3 4 3 3 3 3 81.