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babymother [125]
3 years ago
12

(5/6)^-2 without exponent

Mathematics
2 answers:
slamgirl [31]3 years ago
7 0

Answer:

36/25

Step-by-step explanation:

(\frac{5}{6})^{-2}=(\frac{6}{5})^{2}\\(\frac{6}{5})^2=\frac{6}{5}\times\frac{6}{5}\\=\frac{36}{25}


Steps:

Flip the fraction (negative exponent)

Square the fraction

Stolb23 [73]3 years ago
5 0

Answer:

36/25 or 1 11/25

Step-by-step explanation:

(5/6)^-2

A negative exponent tells us to flip the fraction.  It only eliminates the negative part of the exponent.

(6/5) ^2

We can split it apart (a/b)^x = a^x/b^x

6^2/5^2

36/25

1 11/25

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