Exponentiation Basics Quiz

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KindlyFrenchHorn
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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 = ______.

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)'.

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.

b^0 = 1

The fundamental rule that exponents add allows us to derive that b^0 must be equal to ______ for any b ≠ 0.

1

Test your knowledge of exponentiation with this quiz. Explore the concept of exponentiation, including the base, exponent, and the result of the operation. Challenge yourself with questions about repeated multiplication, exponent properties, and more.

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