Simplify expressions
1 answer:
<h3>a) 
</h3><h3>■Dividing a positive and a negative equals a negative: (+)÷(-)=(-)</h3><h2>
</h2><h3>■To divide by a fraction, multiply by the reciprocal of that fraction</h3><h2>
</h2><h3>■Multiply the fractions</h3><h2>
</h2><h3>Hence, Quotient =</h3><h3>b) 
</h3><h3>■Convert the decimals into a fractions</h3><h2>
</h2><h3>■Dividing a positive and a negative equals a negative: (+)÷(-)=(-)</h3><h2></h2><h3>■To divide by a fraction, multiply by the reciprocal of that fraction</h3><h2></h2><h3>■Multiply the fractions</h3><h2></h2><h3>Hence, Quotient is </h3><h3>c)</h3><h3>■To divide by a fraction, multiply by the reciprocal of that fraction</h3><h2></h2><h3>■Multiply the fractions</h3><h2></h2><h3>Hence, The Quotient is </h3>
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The question is worded a bit strangely (in my opinion anyway), but I think your teacher wants you to describe how exponents work.
Let's say we had the expression
The base is 5 as its the bottom most value (think of something like the base of a tree or building). The exponent is 3.
The exponent of 3 tells the reader to multiply the base 5 by itself 3 times like so
With larger exponents, it becomes more tedious to write out all the repeated multiplications, which is why many calculators have an exponent button to save time.