Which of the following represents a true statement?

A. 19^21 x 19^3 = 19^63
B. (24^8)^5 = 24^40
C. 20^1 x 20^0 = 20^0
D. 16^40 / 16^20 = 16^2
(LOOK AT THE PICTURE PLEASE)

Which of the following represents a true statement A 1921 x 193 1963 B 2485 2440 C 201 x 200 200 D 1640 1620 162 LOOK AT THE PICTURE PLEASE class=

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Answer: Statement B in the lower left corner

When you raise an exponential expression to another exponent, you multiply the exponents. We have 8*5 = 40 as the final exponent. The rule is (x^y)^z = x^(y*z). The base stays the same.

Statement A is not true because we should be adding the exponents. The rule is x^y*x^z = x^(y+z). Note how the bases are all the same. We'll use this rule for statement C to show that it is also false.

A similar rule is (x^y)/(x^z) = x^(y-z). We subtract the exponents this time. This rule is used to show that statement D is false.

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