Question

Use the properties of exponents to rewrite this expression. Then evaluate the rewritten expression for the given values to complete the statement.

Answer 1

The value of the expression is 539

First, we have to simply the index form before substituting the numerical values, we have that;

(11j⁻³k⁻²)(j³k⁴)

now, we have to add the powers of the similar bases since they are being multiplied, we get;

(11j⁻³⁺³k⁻²⁺⁴)

add the exponents, we have;

11jk²

Now, we have that j =-8 and k =7

substitute the values, we get;

11 × (7)²

multiply the values, we have;

11 ×49

539

Use the properties of exponents to rewrite this expression (11j⁻³k⁻²)(j³k⁴)

Then evaluate the rewritten expression for the given values to complete the statement.

When j = -8 and k = 7, the value of the expression is?

Answer 2

60

Step-by-step explanation:

Given the below expression;

`(11j^(-3)k^(-2))(j^3k^4)`

Applying the product rule, we'll have;

`\begin{gathered} 11j^(-3+3)k^(-2+4) \\ =11j^0k^2 \\ =11k^{2^{}} \end{gathered}`

Let's go ahead and evaluate the above expression when k = 7;

`\begin{gathered} 11\ast(7)^2 \\ =11+49 \\ =60 \end{gathered}`