3 years ago

Simplify -1/64........

Mathematics

1 answer:

Anettt [7]3 years ago

8 0

Answer:

- 2⁻⁶

Step-by-step explanation:

To simplify this we have to know the following rules.

(i) (xᵃ)ᵇ = xᵃᵇ

(ii) 1/xᵃ = x⁻ᵃ

Given: $\frac{-1}{64}$

= $\frac{-1}{4^3}$

= $\frac{-1}{(2^2)^3}$

= $\frac{-1}{2^6} \hspace{10mm}$ [using (i)]

= $2^{-6}$ [using (ii)]

Hence, the simplified form would be: $2^{-6}$

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In a geometric sequence, if a3 = ‒5 and a6 = 40, determine a1, r, and an. Then write the first three terms of the sequence.

Tresset [83]

$a_4=ra_3$
$a_5=ra_4=r^2a_3$
$a_6=ra_5=r^3a_3$

$40=-5r^3\implies r^3=-8\implies r=-2$

$a_3=ra_2=r^2a_1$

$-5=(-2)^2a_1\implies a_1=-\dfrac54$

You know the first and third terms, $a_1$ and $a_3$ , so you just need to find the second term $a_2$ :

$a_2=ra_1\implies a_2=-2\left(-\dfrac54\right)=\dfrac52$

7 0

3 years ago

What is the answer ?

MrMuchimi

C is the correct answer

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3 years ago

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Harman [31]

Answer:

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