Mr. Chavez spent $199.99 for a new smart phone, $39.99 on a carrying case, and $59.99 on accessories. The expression |-199.99| + |-39.99| + |-59.99| represents the total amount that Mr. Chavez spent. How much did Mr. Chavez spend altogether? Check your answer using estimation.

$299.97

Step-by-step explanation:

Given that :

Total Amount spent :

New smart phone = $199.99

Carrying case = $39.99

Accessories = $59.99

Total amount spent is represented by the expression :

The expression |-199.99| + |-39.99| + |-59.99|

Since it is denoted using absolute value :

$(199.99 + 39.99 + 59.99) = $299.97

|-299.97|

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like:

27/4x^6 y^8

step-by-step explanation:

4(3x^2y^4)^3 (2x^3y^5)^4

=

108x^6 y^12 /16x^12 y^20

=

108 /16x^6 y^8

=

27 /4x^6 y^8