17

‐9

17‐9

1

1

0

0

17

9

179

(

17

3

)

6

⋅

17

‐10

17

8

1736·17‐10178

=

(

17

6

)

3

⋅

17

‐9

1763·17‐9

=

Given:

Part A:

Part B:

To find:

The value of each expression.

Solution:

Part A:

Using exponent rule:

Using exponent rule:

Cancel the common factor, we get

= 1

Part B:

Using exponent rule:

Using exponent rule:

a.

b.

Step-by-step explanation:

We have to complete each equation

We are given that

Using identity

Using identity:

b.

Using identity:

a.

b.

Step-by-step explanation:

We have to complete each equation

We are given that

Using identity

Using identity:

b.

Using identity:

and

Step-by-step explanation:

using the rules of exponents

• =

• × =

• =

given ( × ) /

= = = =

given ×

= ×

= =

1) The value of is 1.

2) The value of is .

Step-by-step explanation:

Given Expressions,

1) then

Using property of exponents

Using property of exponents

Using property of exponents and

Thus, The value of is 1.

2)

Now applying property of exponents in denominator,

Using property of exponents

Using property of exponents

Thus, the value of is

1 and

Step-by-step explanation:

using the rules of exponents

• =

• × =

• =

given × /

= ( × ) /

= = = 1

given ( × ) /

=

=

= =

The required values of the given expressions are

Step-by-step explanation: We are given to find the values of the following expressions :

We will be using the following properties of exponents :

From expression (i), we get

and from expression (ii), we get

Thus, the required values of the given expressions are

(12²)³ x 12^-4 = 144 which means it is 12² = 144.

12^7 x 12^-5 / 12² which equals 1.

Hope this Helps!!

12^7 x 12^-5 / 12² which equals 1.

Hope this Helps!!

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