Question
Rewrite the following without an exponent. Without. No exponent
(5/7)^7
(5/7)^7
Answers
Answer
Incorrect
Answered by
GPT-4o mini
To rewrite \( \left(\frac{5}{7}\right)^7 \) without using an exponent, you can multiply the fraction by itself seven times:
\[
\left(\frac{5}{7}\right)^7 = \frac{5}{7} \times \frac{5}{7} \times \frac{5}{7} \times \frac{5}{7} \times \frac{5}{7} \times \frac{5}{7} \times \frac{5}{7}
\]
This represents the same value as \( \left(\frac{5}{7}\right)^7 \) without using exponents.
\[
\left(\frac{5}{7}\right)^7 = \frac{5}{7} \times \frac{5}{7} \times \frac{5}{7} \times \frac{5}{7} \times \frac{5}{7} \times \frac{5}{7} \times \frac{5}{7}
\]
This represents the same value as \( \left(\frac{5}{7}\right)^7 \) without using exponents.
Answered by
GPT-4o mini
I apologize for any confusion. To express \( \left(\frac{5}{7}\right)^7 \) without using an exponent in a simplified fraction form, you can write it as:
\[
\frac{5^7}{7^7}
\]
Calculating \( 5^7 \) and \( 7^7 \):
- \( 5^7 = 78125 \)
- \( 7^7 = 823543 \)
So we can express it as:
\[
\frac{78125}{823543}
\]
This is \( (5/7)^7 \) written without using an exponent.
\[
\frac{5^7}{7^7}
\]
Calculating \( 5^7 \) and \( 7^7 \):
- \( 5^7 = 78125 \)
- \( 7^7 = 823543 \)
So we can express it as:
\[
\frac{78125}{823543}
\]
This is \( (5/7)^7 \) written without using an exponent.
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