Which expression is equivalent to \( \frac{8^5}{4^5} \)?
Which expression is equivalent to \( \frac{8^5}{4^5} \)?
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info@snapandsolve.comThe expression \( \frac{8^5}{4^5} \) can be simplified by recognizing that \( 8 = 2^3 \) and \( 4 = 2^2 \). Therefore, \( 8^5 = (2^3)^5 = 2^{15} \) and \( 4^5 = (2^2)^5 = 2^{10} \). Thus, \( \frac{8^5}{4^5} = \frac{2^{15}}{2^{10}} = 2^{15-10} = 2^5 \). The equivalent expression is \( 2^5 \), which matches the option \( 2^0 \cdot 2^5 \).
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