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3 years ago

5

Yi Ting's height is 1.49 m. Express this measurement in millimeters. Explain your thinking. Include an equation with an exponent

in your explanation

1 answer:

jeyben [28]3 years ago

3 0

1490 millimeters
king Hector died by drinking chocolate milk
kilo Hecto deca base deci centi milli
$1.49 \times {10}^{ - 3}$

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sveta [45]

Answer:

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Step-by-step explanation:

<u>Exponents Properties</u>

We need to recall the following properties of exponents:

$(a^x)^y=(a^y)^x=a^{xy}$

$\displaystyle a^{-x}=\frac{1}{a^x}$

We are given the expression:

$2^m=n$

We need to express the following expression in terms of n.

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It's necessary to modify the expression to use the given equivalence.

Recall $8=2^3 \text{ and }4 = 2^2$ . Thus:

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Applying the property:

$(2^m)^3-(2^m)^{-2}$

Substituting the given expression:

$n^3-n^{-2}$

Or, equivalently:

$\mathbf{\displaystyle 8^m-4^{-m}= n^3-\frac{1}{n^{2}}}$

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If f(x)= 3x + 1 and f^(-1)= x-1/3, then the ordered pair of f^(-1)(10)=

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