Dawson Ross
04/01/2024 · High School
Use Property 2 for exponents to write this expression with a single exponent: \( \left(35^{5}\right)^{7}=\square \)
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To write the expression \( \left(35^{5}\right)^{7} \) with a single exponent, we can use Property 2 for exponents, which states that when you raise a power to another power, you multiply the exponents.
The property is written as:
\[ (a^m)^n = a^{m \cdot n} \]
Applying this property to the given expression, we have:
\[ \left(35^{5}\right)^{7} = 35^{5 \cdot 7} \]
Now, we just need to multiply the exponents:
\[ 5 \cdot 7 = 35 \]
So the expression with a single exponent is:
\[ 35^{35} \]
Quick Answer
\( 35^{35} \)
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