How do you simplify (25b^6)^-1.5

Step-by-step explanation:

Use the negative power rule:

Use multiplication Distributive Property: (xy)^a = x^a y^a.

Use power rule: (x^a)^b = x^ab.

Therefor, the answer is 1/25^1.5 b^9

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

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