Which of the following is equal to the fraction below?

2 answers:

6 0

In mathematics there is a rule of exponents where we can "distribute" the powers/exponents in the numerator and denominator of any expression. Therefore, given an expression as $(\frac{a}{b})^n$ , the exponent n can be "distributed" as: $(\frac{a}{b})^n= \frac{a^n}{b^n}$ .

In our case, the power, n=11; a=7 and b=4. Thus, the expression $(\frac{7}{4})^{11}$ , can be written as $\frac{7^{11}}{4^{11}}$ .

Thus, out of the given options, option A is the correct option.

oksano4ka [1.4K]3 years ago

3 0

<span>(7/4)^11 = 7^11 / 4^11

Answer is A.
</span><span> 7^11 / 4^11

Hope it helps</span>

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A hiker attempting to cross a wilderness area has two GPS systems of intermittent reliability because of the areas remoteness .f

ale4655 [162]

Answer:

D. 0.95

Step-by-step explanation:

The probability that at any moment, at least one of the systems will work is determined by the probability that system I works, added to the probability that system II works, and subtracted by the probability that both systems work:

$P(S_I\cup S_{II}) =P(S_I)+P(S_{II})-P(S_I\cap S_{II})\\P(S_I\cup S_{II}) =0.85+0.90-0.80\\P(S_I\cup S_{II}) =0.95$