5.e Advanced Exponents

Question 1

How would you express this in exponent form?

Answer 1

Question 2

How would you express this in exponent form?

Answer 2

Question 3

Express this formula in exponent form?

Answer 3

Question 4

How else would you express this?

Answer 4

Question 5

How would you solve this?

Answer 5

Question 6

How would you solve this?

Answer 6

Question 7

Try solve this:

Answer 7

Question 8

How can you use the LCD of the indices to remove radicals?

Answer 8

By raising each expression to the LCD, we can remove the exponent attached to the expression.

Question 9

How would you compare size between radicals with different indices?

Answer 9

Multiply by LCM and work out entirely

Question 10

How would you solve this?

Answer 10

Question 11

How would you compare these?

Answer 11

Raise both values to the power of the reciprocal of the GCF of j and k.

Question 12

Solve this:

Answer 12

Question 13

Is this equal?

Answer 13

YES.

Question 14

Is this equal?

Answer 14

Question 15

How would you factor out this expression? (hint: GCF)

Answer 15

The GCF of 15, 10 and 25 is 5.

And then take the smallest variable (powers) from each, so x, y^2, z^3.

Hence, the GCF is 5(x)(y^2)(z^3)

Question 16

How would you express this? (as a fraction)

Answer 16

Question 17

How would you express this? (as a fraction)

Answer 17

Question 18

Solve this:

Answer 18

Question 19

Answer and explain:

Answer 19