46.1k views
3 votes
Solve: ( 1/9 )^6·81^4

User VoidKing
by
5.2k points

2 Answers

1 vote

Answer:

Either- 200778.9263 or 81

Explanation:

Type this into the calculator:

First: (1/9)^6= 1.881676423x10^-6

Then: 81^4= 43046721

Then multiply the two: (1.881676423x10^-6)x 43046721= 200778.9263

Or

Try this- type ((1/9)^6)x(81^4) into the calculator which comes out to 81

((1/9)^6)x(81^4)=81

Depends on which level you are at in math.

User Ayush Bansal
by
5.7k points
2 votes

9514 1404 393

Answer:

81

Explanation:

The applicable rules of exponents are ...

(a^b)^c = a^(bc)

1/a^b = a^-b

(a^b)(a^c) = a^(b+c)

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\left((1)/(9)\right)^6\cdot81^4=9^(-6)\cdot(9^2)^4=9^(-6)9^8= 9^(-6+8)=9^2\\\\=\boxed{81}

User Zernike
by
5.3k points