Power To Power Math

Any number that is raised to the power of 0 is equal to 1.

Power to power math. 3 5 9 135. X a y b z x a z y b z. Exponent properties with quotients. X y a x a y a.

Usually a power is represented with a base number and an exponent. Exponent properties with products. If a is any rational number then it can be written as a m n. 2 3 1 2 3.

We can define taking a number to the a th power as taking that number to the m th power and the n th root. Exponent properties intro. In 82 the 2 says to use 8 twice in a multiplication so 82 8 8 64 in words. That is b n is the product of multiplying n bases.

X a 1 x a. Thus we need to recall some basic rules. 1 2 when n is a positive integer exponentiation corresponds to repeated multiplication of the base. No matter how many powers of powers you have just keep using the rule and multiply away.

If you have a power of a power of a power you simply multiply all three. The exponent a small number written above and to the right of the base number tells how many times the base number is being multiplied. For example in the following expression x to the power of 3 is being raised to the power of 6 and so you would multiply 3 and 6 to find the new power. We ll assume the base x is non negative so that we don t have to worry about doing things like taking the square root of a negative number.

The rule for the power of a power and the power of a product can be combined into the following rule. A power is the product of multiplying a number by itself. Exponentiation is a mathematical operation written as b n involving two numbers the base b and the exponent or power n and pronounced as b raised to the power of n. Free exponents powers calculator apply exponent rules to multiply exponents step by step.

The base number tells what number is being multiplied. When raising a power to a power in an exponential expression you find the new power by multiplying the two powers together. The exponent of a number says how many times to use the number in a multiplication. 8 2 could be called 8 to the power 2 or 8 to the second power or simply 8 squared.

Exponent properties with parentheses. This is the currently selected item. 2 x 4 2 4 x 4 16 x 4.