Instead of just telling you the answer to your homework, let's work an example and see:
23 is the same as 2 x 2 x2 and 22 is the same as 2 x 2, so
23x22= (2 x 2 x 2) x ( 2 x 2 ) = 2 x 2 x 2 x 2 x 2
If your theory that we should subtract exponents in a product were true, then 23x22
should equal 21, correct? Does 21 equal 2 x 2 x 2 x 2 x 2? How would you write 2 x 2 x 2 x 2 x 2 using exponents?
You do not. The exponent is only subtracted in division.
As a product of its prime factors in exponents: 2*32*37 = 666
to find a power of a product you add the exponents
When a base is raised to a power inside a quantity , multiply the two exponents to solve.
Power.
You do not. The exponent is only subtracted in division.
when two numbers are multiplied together that are exponents you multiply the bases amd add the exponents the relationship would simply be that the product exponents are the sum of the exponents being multiplied in the question
As a product of its prime factors in exponents: 2*32*37 = 666
As a product of its prime factors in exponents: 22*33 = 108 As a product of its prime factors in exponents: 23*29 = 232 As a product of its prime factors in exponents: 23*3*7 = 168
If three is subtracted from the product to get 17, the product must be 20. Then find what number can be multiplied by 5 to get 20. The answer is 4.
to find a power of a product you add the exponents
When a base is raised to a power inside a quantity , multiply the two exponents to solve.
You evaluate in exponenets by writting out the exponents like 6*6*6 = you have to find the product of your problem.
When a base is raised to a power inside a quantity , multiply the two exponents to solve.
Power.
1,200 = 1.2 × 103
As a product of its prime factors in exponents: 24*34 = 1296