Simplify: 5^2 x 5^4 A, 5^8 B. 5 x 8 C. 5^2 D. 5^6

2 answers:

8 0

Whenever we multiply values where the bases are the same, you add the exponents.

2+4=6, so the answer is

5^6

Hope this helped :)

tankabanditka [31]1 year ago

6 0

Answer:

D. 5^6

Step-by-step explanation:

$5^2*5^4\\5^2^+^4\\5^6$

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Midway through the fundraiser, Mrs Little, the sponsor, discovers a container of buttermilk in the back of the fridge. It has 6

solong [7]

Answer: 6 recipes

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2 years ago

Write a quadratic equation with the given roots. Write the equation in the form of ax^2+bx+c=0 where a b and c are integers

Bas_tet [7]

You haven't provided the required roots, but I can tell you how to do this kind of exercises in general.

If the $x^2$ coefficient is 1, i.e. the equation is written like $x^2+bx+c=0$ , then you can say the following about the coefficients b and c:

$b$ is the opposite of the sum of the roots
$c$ is the multiplication of the roots.

So, for example, if we want an equation whose roots are 4 and -2, we have:

$4+(-2) = 4-2 = 2 \implies b = -2$
$4 \cdot (-2) = -8 \implies c = -8$

So, the equation is $x^2-2x-8=0$

If your roots are rational, you can work like this: suppose you want an equation with roots 3/4 and 1/2. You have:

$\dfrac{3}{4}+\dfrac{1}{2} = \dfrac{3}{4}+\dfrac{2}{4} = \dfrac{5}{4} \implies b = -\dfrac{5}{4}$
$\dfrac{3}{4} \cdot \dfrac{1}{2} = \dfrac{3}{8} \implies c = \dfrac{3}{8}$