How do you simplify 81x12y8z10?

2 Answers
Sep 9, 2015

81x12y8z10=9x6y4z5

Explanation:

You can use the following rule:

ab=a×b

In order to see how to simplify 81x12y8z10, we can split it as follows:

81x12y8z10
=81×x12×y8×z10

Remember that a=a12, so:
an
=an12
=an2

In other words, square rooting an expression with an exponent halves the exponent.

81×x12×y8×z10
=9×x6×y4×z5

=9x6y4z5

Note: usually teachers will be fine with you skipping straight from 81x12y8z10 to 9x6y4z5. You don't need to show the long process all the time unless your teacher asks for it.

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Sep 9, 2015

81x12y8z10=9x6y4z5

Explanation:

There are two simple Exponents rules we need to know to answer this question

1) abc=abc

2) am=am2

Based on the first rule,

81x12y8z10=81x12y8z10

=92x12y8z10

Based on the second rule, we write the above expression as

=922x122y82z102

=9x6y4z5