Use the product rule to simplify. Write the results using exponents.
-$25 \cdot 23$
A) $4 ^ { 15 }$
B) $215$
C) $4 ^ { 8 }$
D) $2 ^ { 8 }$

Question

Quizplus · Accepted Answer

The product rule for exponents states that $a^m \cdot a^n = a^{m+n}$, but it doesn't apply to multiplying distinct numbers like 25 and 23 directly. The correct approach is to recognize that neither $25 \cdot 23$ simplifies to an expression with a base and an exponent directly from the given options. However, the question seems to be incorrectly framed for applying the product rule of exponents. The correct answer, based on the calculation of $25 \cdot 23$, doesn't match any of the provided choices since none of them represent the product of 25 and 23. The correct calculation should involve basic multiplication, not the application of the product rule for exponents. However, assuming a typo in the question and it meant to ask for the simplification of $2^5 \cdot 2^3$, the answer would be $2^{5+3} = 2^8$, which corresponds to option D.

Use the Product Rule to Simplify 25⋅2325 \cdot 2325⋅23 A) 4154 ^ { 15 }415

Use the Product Rule to Simplify $25 \cdot 23$ A) $4 ^ { 15 }$