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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8+2k=4k+4
8-4=4k-2k I placed the like terms on each side.
4=2k Simplify
4/2=k Leave the variable a side
2 = k
Answer:
So the statement:
"The product of two irrational numbers is rational." is false.
Step-by-step explanation:
The product of two irrationals can be irrational or rational.
Example:

is irrational but when you multiply it to itself the output is rational.
Example:

are irrational and when you multiply them you get an irrational answer of
.
So the statement:
"The product of two irrational numbers is rational." is false.
1. Each term in this polynomial has a common factor of
:

2. Not sure what the "vertical method" is, but I would guess it refers to some way of visualizing the distributive property.



3. You can use the same approach as in (2), or recall that
:


4. Recall that a difference of squares can be factored as
. So

