The expression 'a to the seventh divided by a to the tenth' without a fraction bar is 'a raised to the power of negative three' (a^-3), by using the law that states when dividing like bases you subtract the exponents.
;
To write the expression a to the seventh divided by a to the tenth without a fraction bar, you use the rules of exponents for division. When you divide like bases, you subtract the exponents: a7 ÷ a10 = a7-10 = a-3 . This results in a to the negative third power, which is the same as 1 divided by a3 when written without negative exponents.
The expression a 10 a 7 can be simplified to a − 3 by subtracting the exponent in the denominator from the exponent in the numerator, following the laws of exponents. This means a 7 divided by a 10 equals a 7 − 10 which simplifies to a − 3 .
;