What do the expression (3³) and (3⁴) have in common?

Mathematics

2 answers:

lina2011 [118]3 years ago

8 0

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▹ Answer

Both of them have the same base.

▹ Step-by-Step Explanation

The exponential quantity differs, but 3³ and 3⁴ both have the same base number of 3.

Hope this helps!

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yaroslaw [1]3 years ago

7 0

Answer:

Both terms have the same base.

Step-by-step explanation:

While they share the same base, 3, their powers differ (one to the cube, and the other to the quartic).

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Eric reflected parallelogram ABCD across the x-axis. If angle A is 125° and angle B is 55°, what is the degree measurement of an

Sauron [17]

The measures of the angles don't change when you translate a figure, because the entire figure is moving as a whole. Imagine having a paper parallelogram, moving it around and flipping it over. Not even dilations would change these angles (for reasons that can be pretty easily visualed but not really proven until geometry)

$m\angle A'=125\°$

7 0

3 years ago

OOOO

lbvjy [14]

Step-by-step explanation:

Given bi-quadratic equation is:

$x^4+95x^2 -500=0$

Substituting $x^2=a,$ given bi-quadratic equation reduces in the form of following quadratic equation:

$a^2 +95a -500=0\\$

Let us factorize the above quadratic equation:

$a^2 +95a -500=0\\\therefore\: a^2 +100a -5a-500=0\\\therefore\: a(a +100) -5(a+100)=0\\\therefore\: (a +100)(a -5)=0\\\therefore\: (a +100)=0\:\: or \:\: (a -5)=0\\\therefore\: a = - 100\:\: or \:\: a = 5\\\\CASE\: (1)\:\\When\: a = - 100 \implies x^2 = - 100\\\therefore x=\pm \sqrt{-100}\\$