Question

Simplify the expression: 1/4.25n​×32p−3(−2p)×54n

a. 5.5n−12p−2
b. 9.5n+1.5p−2
c. 94n−1.5p−4
d. 3.75n−p+1

Answer 1

To simplify the expression 1/4.25n × 32p^(-3)(-2p) × 54na, first convert 4.25n to 1/(4.25n), then simplify the exponents using the properties of exponents, and finally simplify the constants by multiplying them together.

Step-by-step explanation:

To simplify the expression 1/4.25n × 32p^(-3)(-2p) × 54na, we can start by working on the exponents and the division.

First, 4.25n can be written as 1/(4.25n) because dividing by a number is the same as multiplying by its reciprocal. Now we have 1/(4.25n) × 32p^(-3)(-2p) × 54na.

Next, we can simplify the exponents by using the properties of exponents. For example, p^(-3) / p is equal to 1/p^(3). Applying this property to our expression, we get 1/(4.25n) × 32 / p^3 × (-2p) × 54na.

Finally, we can simplify the constants by multiplying them together. 32 × (-2) × 54 = -3456. The simplified expression is then -3456 / (4.25np^3) × pa.