Perform the indicated operations. 5 1 / 4 ⋅ 5 7 / 4

Using property of exponent a m ⋅ a n = a m + n 5 1 4 ⋅ 5 7 4 = 5 1 4 + 7 4 = 5 1 + 7 4 = 5 8 4 = 5 2 = 5 × 5 = 25

Resolved: "Perform the indicated operations. 5 1 / 4..."

Moselq8

2022-08-06

Perform the indicated operations.

5^{1 / 4} \cdot 5^{7 / 4}

Tamia Campbell

Beginner2022-08-07Added 14 answers

Using property of exponent

a^{m} \cdot a^{n} = a^{m + n} 5^{\frac{1}{4}} \cdot 5^{\frac{7}{4}} = 5^{\frac{1}{4} + \frac{7}{4}} = 5^{\frac{1 + 7}{4}} = 5^{\frac{8}{4}} = 5^{2} = 5 \times 5 = 25

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