Posted by **Remy** on Saturday, October 27, 2012 at 11:33am.

Simplify each of the following exactly:

(8^(-1000) sqr2^10000)/16^500

log_(8) 2

- math -
**Steve**, Saturday, October 27, 2012 at 1:12pm
#1:

sqrt(10000) = 100

16 = 8^(4/3), so 16^500 = 8^(2000/3)

8^-1000 * 100 / 8^(2000/3)

= 100 * 2^(-3000 - 2000)

= 100 * 2^(-5000)

#2:

since 8 = 2^3, 2 = 8^(1/3)

so, log_8(2) = 1/3

## Answer this Question

## Related Questions

- math - Simplify each of the following exactly: (8^(-1000) sqr2^10000)/16^500 ...
- Engineering - -From the following two linear homogeneous algebraic equations:(...
- Math - one Percentage increase / decrease formula in excel that full all the ...
- Math - one Percentage increase / decrease formula in excel that full all the ...
- ALGEBRA - Use the definition of logarithm to simplify each expression. (a) )log_...
- ALGEBRA - Use the definition of logarithm to simplify each expression. text((a...
- statistics - A lottery offers one $10000 prize, one $5000 prize and five $1000 ...
- math - A girl bought some pencils, erasers, and paper clips at the stationery ...
- Math(check) - Solve 1= (y+3)(2y-2) Use foil on the right side. 1 = 2y^2 +6y -2y...
- math - what formulas do i use for this: Investments Suppose $10,000 is invested ...

More Related Questions