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Sedaia [141]
2 years ago
5

Which expressions are equivalent to 1/36?

Mathematics
2 answers:
Aleks04 [339]2 years ago
7 0

Answer:

b) 6^{-2}

c) \frac{6^3}{6^5}

f) 6^{-9} . 6^{7}

Step-by-step explanation:

The given expression is \frac{1}{36}

36 can be written as 6*6 = 6^{2}

So the given expression can be written as \frac{1}{6^2}

We can use the following exponent rules and write the given equation in different forms.

i) a^{-m} = \frac{1}{a^m}

ii) a^m *a^n = a^{m + n}

\frac{1}{6^2} = 6^{-2}

\frac{1}{6^2} = \frac{6^3}{6^5}

\frac{1}{6^2} = 6^{-9} . 6^{7}

Kamila [148]2 years ago
5 0
6^-2 , 6^3/6^5 , 6^-9 • 6^7. I believe these are the expressions that are equivalent to 1/36.
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konstantin123 [22]

Consider right triangle ΔABC with legs AC and BC and hypotenuse AB. Draw the altitude CD.

1. Theorem: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.

According to this theorem,

BC^2=BD\cdot AB.

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