Question
Which expression is equivalent to y times y times y times z times z times z times z?
y cubed z Superscript 4
12xy
(y z) Superscript 7
7xy
y cubed z Superscript 4
12xy
(y z) Superscript 7
7xy
Answers
GPT-4o mini
The expression \( y \times y \times y \times z \times z \times z \times z \) can be rewritten using exponents:
- \( y \times y \times y = y^3 \)
- \( z \times z \times z \times z = z^4 \)
Thus, the entire expression can be combined as:
\[
y^3 z^4
\]
Therefore, the expression that is equivalent to \( y \times y \times y \times z \times z \times z \times z \) is:
\[
y^3 z^4
\]
So the correct answer is \( y^3 z^4 \).
- \( y \times y \times y = y^3 \)
- \( z \times z \times z \times z = z^4 \)
Thus, the entire expression can be combined as:
\[
y^3 z^4
\]
Therefore, the expression that is equivalent to \( y \times y \times y \times z \times z \times z \times z \) is:
\[
y^3 z^4
\]
So the correct answer is \( y^3 z^4 \).