Solve the following Indices Equations to find the value of unknown.
3√3 = 9 to the power -2x
x to the power 2/3 = 16/25
Answers
Step-by-step explanation:
ow to Solve Exponents Without a Calculator
Updated April 24, 2017
By Ainsley Patterson
Mathematics is a dreaded subject for many students throughout their school years. With graphs, complex equations and many different shapes involved, it is no wonder that mathematics can seem quite intimidating. Solving exponents might be one such intimidating math problem. Learn how to solve this math problem without a calculator.
Begin by looking at the equation you have to solve. Take note of the base number and the exponent number. If the exponent is merely part of a larger equation, take the time to look that over as well. The base number is usually the larger number and the exponent is usually smaller in size than the base number; the exponent appears up and to the right of the base number.
Take the exponent number as telling you how many base numbers to write out on your piece of paper. So, if your exponent number is 3, then you will want to write 3 of your base number out on a single line.
Answer:
1) x= -3/8 2) x=64/125
Step-by-step explanation:
1) 3√3=(9)^(-2x)
3^(1+1/2)=3^(-4x)
as bases are equal powers should be equal
1+1/2= -4x
3/2 = -4x
therefore, x= -3/8
2) x^(2/3)=16/25
x^(2/3)=(4/5)^2
x^(1/3)=(4/5)
x=(4/5)^3
therefore, x= 64/125