When a base is raised to a power inside a quantity , multiply the two exponents to solve.
Chat with our AI personalities
The product rule says when multiplying two powers that have the same base, you can add the exponents. There are product rules used in calculus to find the product of derivatives, but that does not really have to do with exponents.The above answer translates to the following Algebra rule:xm * xn = xm+nHere is an example:x5 * x2 = x5+2 = x7
As a product of its prime factors in exponents: 2*32*37 = 666
to find a power of a product you add the exponents
The exponent "product rule" tells us that, when multiplying two powers that The Product Rule is that when you have the same base, you can add the exponents.The quotient rule tells us that we can divide two powers with the same base by subtracting the exponents.The "power rule" tells us that to raise a power to a power, just multiply the exponents. Here you see that 52 raised to the 3rd power is equal to 56.
The quotient rule of exponents in Algebra states that dividing expressions with the same base you subtract the exponents. However, the base cannot be equal to zero.The above statement follows this rule in Algebra:xm/xn = xm-n;x cannot equal 0Here's an example:x15/x5 = x15-5 = x10