What Is the Way to Multiply Exponents With Different Bases?

What Is the Way to Multiply Exponents With Different Bases?

When multiplying exponents with different bases, multiply the bases first. For instance, when multiplying y^2 * z^2, the formula would change to (y * z)^2.

An example of multiplying exponents with different bases is 3^2 * 4^2. Users should change the equation to read as (3 * 4)^2 which is equal to 12^2. To solve 12^2, users would multiply 12*12 which is equal to 144.

When multiplying numbers where both the base and exponents are different, such as 2^2 * 3^3, each exponents has to be calculated first. In this equation, users would first calculate each part of the equation separately, 2^2 = 4 and 3^3=9 and then multiply 4 by 9 which equals 36. So 2^2 * 3^3 = 36.

The process changes when two different negative exponents are involved as the exponents are added together. An instance of multiplying negative exponents is 2^-2 * 2^-3. The equation should be changed to 2^-(2+3) which equals 2^-5. Because the exponent is negative, the number changes to a fraction in order to make it positive. It would change to 1/2^5, then users would then take 1/2*2*2*2*2 which is equal to 1/32. Diving 1 by 33 gives the answer 0.03125, so 2^-2 * 2^-3 = 0.03125.