Podcast
Questions and Answers
When multiplying a base raised to one exponent by the same base raised to another exponent, the exponents add. This means that b^m * b^n = b^{______}.
When multiplying a base raised to one exponent by the same base raised to another exponent, the exponents add. This means that b^m * b^n = b^{______}.
m+n
For any positive integer n, b^n is n occurrences of b all multiplied by each other. This means that b^n = ______.
For any positive integer n, b^n is n occurrences of b all multiplied by each other. This means that b^n = ______.
b * b * ... * b (n times)
In exponentiation, ______ is the product of multiplying n bases: The exponent is usually shown as a superscript to the right of the base. In that case, ______ is called 'b raised to the nth power', 'b to the nth power', or most briefly as 'b to the n(th)'.
In exponentiation, ______ is the product of multiplying n bases: The exponent is usually shown as a superscript to the right of the base. In that case, ______ is called 'b raised to the nth power', 'b to the nth power', or most briefly as 'b to the n(th)'.
bn
For any positive integer n, b^0 * b^n = b^{0+n} = b^n. Dividing both sides by b^n gives b^0 = b^n / b^n = 1.
For any positive integer n, b^0 * b^n = b^{0+n} = b^n. Dividing both sides by b^n gives b^0 = b^n / b^n = 1.
Signup and view all the answers
The fundamental rule that exponents add allows us to derive that b^0 must be equal to ______ for any b ≠ 0.
The fundamental rule that exponents add allows us to derive that b^0 must be equal to ______ for any b ≠ 0.
Signup and view all the answers
