Question

Simplify the expression: -7c^8*(-0.4c^3)^2.

a) 1.12c^13
b) -0.28c^5
c) 2.8c^11
d) -2.8c^13

Answer 1

The expression -7c^8*(-0.4c^3)^2 simplifies to -1.12c^14 by using the rules of exponents and multiplication.

Step-by-step explanation:

To simplify the expression -7c^8*(-0.4c^3)^2, we need to follow the rules of exponents and multiplication. By squaring the term -0.4c^3, we get (-0.4)^2 * (c^3)^2 which is 0.16c^6. Next, multiply the simplified square by -7c^8. The coefficients -7 and 0.16 multiply to get -1.12, and the exponents add up, c^8 * c^6 = c^(8+6) = c^14, so the expression simplifies to -1.12c^14.