Question

Simplify using the Laws of Exponents. (-3)2.43.(-1)8 4.(-1)5

Answer 1

The values of the above expressions are $576,-4$.

Step-by-step explanation:

Given that,

Two expression,

$(-3)^2{\cdot}4^3{\cdot}(-1)^8$

and

$4{\cdot}(-1)^5$

To find,

The values of the given expressions.

Solution,

First expression,

$(-3)^2{\cdot}4^3{\cdot}(-1)^8$

One of the property of exponent is, $a^2=a\times a$

So,

$(-3)^2{\cdot}4^3{\cdot}(-1)^8=-3\times -3\times 4\times 4\times 4\times (-1)^8\\\\=9\times 64\times 1\\\\=576$

Second expression,

$4{\cdot}(-1)^5$

So,

$4{\cdot}(-1)^5=4\times -1\times -1\times -1\times -1\times -1\\\\=-4$

So, the values of the above expressions are $576,-4$.

Reference,

brainly.com/question/11229669