Question

Обчисліть значення виразу

Answer 1

$\dfrac{(5^{7} )^{4}\cdot 5^{2}}{5^{27} } =\dfrac{5^{28} \cdot 5^{2}}{5^{27} } =5^{28+2-27}=5^{3}=\boxed{125}$

Answer 2

$\displaystyle\frac{ ({5}^{7} )^{4} \times {5}^{2} }{ {5}^{27} } = \frac{ {5}^{28} \times {5}^{2} }{ {5}^{27} } = \frac{ {5}^{30} }{ {5}^{27} } = {5}^{3} = 125$

• $({a}^{n} )^{m} = {a}^{n \times m}$
• ${a}^{n} \times {a}^{m} = {a}^{n + m}$
• $\displaystyle\frac{ {a}^{n} }{ {a}^{m} } = {a}^{n - m}$