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In this lesson, we will learn how to convert an exponential expression to its equivalent radical form.

Q1:

Express π₯ Γ π₯ 1 6 3 2 3 2 in the form π β π π .

Q2:

Express π₯ Γ π₯ 2 3 1 3 1 8 in the form π β π π .

Q3:

Express π₯ Γ π₯ 9 2 0 1 9 8 in the form π β π π .

Q4:

Express π₯ Γ π₯ 1 2 2 0 4 3 in the form π β π π .

Q5:

Express π₯ Γ π₯ 1 1 2 1 9 1 8 in the form π β π π .

Q6:

Write 7 Γ 7 5 1 2 3 1 2 in radical form.

Q7:

Write 6 Γ 6 2 3 6 8 in radical form.

Q8:

A square has an area of 349 cm^{2}. Determine the length of its diagonal.

Q9:

Which of the following is equivalent to 6 4 ο€ ο₯ ?

Q10:

Which of the following is equivalent to 3 2 3 5 ?

Q11:

Remember that 8 = ο» β 8 ο = ( 2 ) = 4 2 3 3 2 2 .

Also, 8 = ο» β 8 ο = ο» β 6 4 ο = 4 2 3 3 3 2 .

The first method is easier to calculate.

Which of the following is equivalent to 1 6 3 4 ?

Q12:

Remember that and that converting decimal bases to top heavy fractions can help you to simplify expressions with exponents.

For example,

Use the example above to help you simplify ( 0 . 0 0 1 6 ) β 3 4 .

Q13:

Completely simplify οΌ 6 4 1 2 5 ο β 5 3 .

Q14:

Which of the following is equivalent to 6 4 1 3 ?

Q15:

Calculate οΌ 1 4 9 ο 1 2 .

Q16:

Evaluate οΌ 3 1 3 8 1 ο ο± ο§ ο ο¨ ο« .

Q17:

Using the addition rule for rational exponents, we can write in the radical form

Use the example above to help you rewrite 4 Γ 4 7 9 8 9 in radical form.

Q18:

Completely simplify οΌ 8 1 1 0 0 0 0 ο β 5 4 .

Q19:

Write 6 | | π₯ | | π¦ 9 1 2 as a radical expression.

Q20:

Remember that and

So, for example,

Use the example above to help you simplify οΌ 3 2 1 0 0 0 0 0 ο β 2 5 .

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