The answer is: 45 * 10 ⁻¹¹ .
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Explanation:
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Given: (9 * 10⁻⁵) * (5 *10 ⁻⁶) ; Simplify.
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(9 * 10⁻⁵) * (5 *10⁻⁶) =

9 * 5 * 10⁻⁵ * 10⁻⁶ =

(9 * 5) * 10⁻⁵ * 10⁻⁶

45 * 10⁻⁵ * 10⁻⁶ ;
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Note the following property of exponents:

xᵃ * xᵇ = x⁽ᵃ⁺ᵇ⁾ ;

As such, 10⁻⁵ * 10⁻⁶ = 10⁽⁻⁵ ⁺ ⁻⁶) = 10 ⁻¹¹ ;
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So; 45 * 10⁻⁵ * 10⁻⁶

= 45 * 10⁻¹¹ .
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7 0

3 years ago

In the same year, the average finishing time for u.s. women was four hours and 41 minutes. What was their average speed in miles

EleoNora [17]

I need to know the distance.

speed= distance/ time

If you want to figure thier speed you need to divide the distance ( miles) by their time ( hours)

3 0

3 years ago

Read 2 more answers

If the roots of a quadratic equation are 1±√5, then the product of the roots is

Drupady [299]

The plus-minus sign represents that there are two possible outcomes.

In this case, we have $1 \pm \sqrt{5}$ . When we branch out the possibilities we got 2 values: $1 + \sqrt{5}$ and $1 - \sqrt{5}$

Those are the roots of this equation. When they ask their product, they want you to multiply both numbers.

When we multiply them: $(1 + \sqrt{5}) \times( 1 - \sqrt{5})$

When we FOIL the we get: $1 \times 1 - 1 \times \sqrt{5} + 1 \times \sqrt{5} - \sqrt{5} \times \sqrt{5}$

Simplify:
$1 - \sqrt{5} + \sqrt{5} - 5$
$1 - 5 = 6$

So the product of the two roots of this equation is 6.

5 0

4 years ago

Read 2 more answers