Sunday

November 23, 2014

November 23, 2014

Posted by **Eve** on Thursday, September 10, 2009 at 8:18pm.

- Algebra -
**MathMate**, Thursday, September 10, 2009 at 8:38pmFirst, you'd have to adhere to the rules of priority.

The expression 64^{2/3}is much clearer.

The 2 in the exponent requires us to square the base, and the 3 in the denominator represents (1/3) means we need to take the cube root of the base.

So whether you do ∛((64)²) or (∛64)³ will give the same answer, i.e. ∛(4096)=16 or (4)²=16. The 4 comes from the cube root of 64, or 64^{1/3}.

For 11^{-3/2}it is the same procedure, by following the laws of exponents:

x^{a+b}= x^{a}× x^{b}

x^{ab}= (x^{a})^{b}

x^{-a}= 1/x^{a}

x^{1/a}= ath root of x.

Therefore

11^{-3/2}

=1/11^{3/2}

=1/∛(11³)

=1/∛(1331)

- Algebra-correction -
**MathMate**, Thursday, September 10, 2009 at 8:39pm11

^{-3/2}

=1/11^{3/2}

=1/√(11³)

=1/√(1331)

**Answer this Question**

**Related Questions**

7th grade math - I hope this makes sense, but my teacher said he wants all ...

math (Gaussian n! formula) - I'm trying to figure out the generalized form of ...

math116 - I really need help i am so stuck i can not figure this out we are ...

math116 algrabra - I really need help i am so stuck i can not figure this out we...

Math 221 - I am trying to figure out how to Evaluate the polynomial resulting ...

College Algebra - Hello, I have been trying to do my math homework for a few ...

Microeconomics - For being such a hard worker, you are going to receive $50 to ...

biology - Can you help me find an everyday object that has a similar function as...

Biology/help please - Can you help me find an everyday object that has a similar...

biology /cell analogy - Can you help me find an everyday object that has a ...