Please help to fill in the fractions 2/8=.../4

2 answers:

6 0

1/4 you just divide the denominators and then divide the numerators by the number you divided the denominator by. They are equivalent fractions

mote1985 [20]3 years ago

4 0

1 because if you divide 2/8 by 2, you will get 1/4.

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Simplify (x^14)^3 <br><br> ffffffffffffffffffffffffffffff

Salsk061 [2.6K]

Answer:

$(x^{14}) ^{3}$ = $x^{42}$

Step-by-step explanation:

In this case in order to simplify we need to know what the "power rule of exponents" is. Simply speaking this rule states that when you raise a power to a power you multiply the exponents. So in our case we ill get the following

$(x^{14}) ^{3}$ = $x^{42}$

In order to get 42 we used the power rule which I mentioned earlier.

3 0

3 years ago

(2^8 x 3^−5 x 6^0)−2 x 3 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 x 2^28

Veronika [31]

$(2^8\cdot3^{-5}\cdot6^0)^{-2}\cdot\left(\dfrac{3^{-2}}{2^3}\right)^4\cdot2^{28}\\\\=(2^8)^{-2}\cdot(3^{-5})^{-2}\cdot1^{-2}\cdot\dfrac{(3^{-2})^4}{(2^3)^4}\cdot2^{28}\\\\=2^{-16}\cdot3^{10}\cdot\dfrac{3^{-8}}{2^{12}}\cdot2^{28}\\\\=2^{-16}\cdot2^{28}\cdot2^{-12}\cdot3^{10}\cdot3^{-8}\\\\=2^{-16+28+(-12)}\cdot3^{10+(-8)}\\\\=2^0\cdot3^2=1\cdot9=\boxed{9}\\\\Used:\\\\(a\cdot b)^n=a^n\cdot b^n\\\\(a^n)^m=a^{n\cdot m}\\\\a^n\cdot a^m=a^{n+m}\\\\a^{-n}=\dfrac{1}{a^n}$