1 7²+17^-5 = 17^-3 = 1/17³
Answers
Answered by
1
Step-by-step explanation:
[17
3
×17
2
5
×17
2
9
]×[17
7
10
×(17
5
)
5
3
×(17
6
)
7
1
]
−1
Apply algebraic identify (aⁿ)ˣ = aⁿˣ:
[ 17^3 \times 17^ \frac{5}{2} \times 17^\frac{9}{2} ] \times [ 17^ \frac{10}{7} \times 17^3 \times (17^\frac{6}{7} ]^{-1}[17
3
×17
2
5
×17
2
9
]×[17
7
10
×17
3
×(17
7
6
]
−1
Apply algebraic identify aⁿ x aˣ = aⁿ⁺ˣ:
[ 17^{3 + \frac{5}{2} +\frac{9}{2}} ] \times [ 17^ {\frac{10}{7} + 3 + \frac{6}{7}} ]^{-1}[17
3+
2
5
+
2
9
]×[17
7
10
+3+
7
6
]
−1
[ 17^{10} ] \times [ 17^ {\frac{30}{7}}]^{-1}[17
10
]×[17
7
30
]
−1
Apply algebraic identify a⁻¹ = 1/a:
[ 17^{10} ] \div [ 17^ {\frac{30}{7}}][17
10
]÷[17
7
30
]
Apply algebraic identify aⁿ ÷ aˣ = aⁿ⁻ˣ:
17^{10 - \frac{30}{7}
17^\frac{33}{7}17
7
33
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