3 years ago

I Don't get it......

Mathematics

1 answer:

Lemur [1.5K]3 years ago

3 0

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If n^-2 = 1/16, then n could be which of the following?

Zepler [3.9K]

Answer:

The correct choice is

$\boxed{n=4}$

Step-by-step explanation:

The given equation is

$n^{-2}=\frac{1}{16}$

We rewrite the left hand side of the equation as a power(a number to a given exponent.

$n^{-2}=\frac{1}{4^2}$

Recall that;

$\frac{1}{a^m}=a^{-m}$

We apply this property to obtain;

$n^{-2}=4^{-2}$

Since the exponents are the same, the bases are also the same.

Therefore $n=4$

7 0

3 years ago

Read 2 more answers

Convert base 10 273 to a base 12

Margaret [11]

The highest power of 12 that divides 273 (with remainder) is $12^2=144$ , and dividing gives

$273=1(144)+129$

Divide the remainder term by the next highest power of 12, $12^1=12$ .

$129=10(12)+9$

So $273_{10}=1a9_{12}$ , since

$273=1\cdot144+10\cdot12+9\cdot1=1\cdot12^2+10\cdot12^1+9\cdot12^0$