[Higher] Simplify the following expressions: x^7 X x ^5 and (x^-2)^-3

For the first part, when we are multiplying a number of two different powers (here being 7 and 5), we must add the powers in order to simplify the expression. So here x7 * x5 = x(7+5) = x12, which is the final answer as 7 + 5 = 12.For the second part, when we have a number raised to a certain power and then raised again to another power (here being -2 and -3 respectively), we must multiply the powers in order to simplify the expression. So here (x-2)-3 = x(-2*-3)= x6, which is the final answer as -2 * -3 = 6.

ZS
Answered by Zak S. Maths tutor

2668 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Using Pythagoras Theorem find the length of the hypotenuse of a right triangle where a=7 cm and b=11 cm. Round to the nearest tenth


How can I solve reverse percentage questions?


What is the simplified version of ( 2a+4a^2+3a)


How can I solve a quadratic equation by factorisation?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences