Question

Please help with this math

Answer 1

Answer:9/4

Step-by-step explanation: 3^2=9,2^-2=1/4, 1/4 *9=9/4

Answer 2

`\sf (9)/(4)`

Explanation:

`\sf 2^(-2 )\cdot 3^2`

In order to simplify the expression 2, we can use the properties of exponents. Remember that a negative exponent indicates taking the reciprocal of the base raised to the positive exponent.

Here's how to simplify it:

`\sf 2^(-2 )\cdot 3^2`

First, simplify each term separately:

`\sf 2^(-2) =( 1 )/(2^2) = (1 )/(4) \: (since\: 2^2 = 4)`

Now, we have:

`\sf (1 )/(4)\cdot 3^2`

Since
`\sf 3^2 = 3 \cdot 3 = 9`

Now, multiply the fractions:

`\sf (1 )/(4)\cdot 9 =(9)/(4)`

So, simplified form is:

`\sf (9)/(4)`