Answer:
14. 118
15. 28
16. 152
Step-by-step explanation:
1)a^7/a^4
=a^[7-4]
=a³
2) r²s⁴t/r²st³
=s⁴-¹.t¹-³
=s³.t-²
=s³/t²
3)3x^6/18x
=x^5/6
32, that’s just 2 to the fifth power so 2*2*2*2*2
In order to answer this question, we must break this mathematical expression up into a series of mathematical operations (exponent, multiplication,division, addition, and/or subtraction):
"4 times a number" - The word "times" implies that we have to multiply 4 by an unknown number. We can simply label this unknown number as x.
"cubed" - In order to "cube" a number, we must raise it to the third power, or have an exponent of 3. Our unknown number of x now becomes x3 because we raised it to the third power.
"decreased by 7" - The word "decreased" implies that we must subtract 7 from the product of 4 multiplied by x3
With all of the information we now have, we can form an algebraic expression for this problem.
"4 times a number cubed decreased by 3" now becomes:
4x3 - 7
