The expression (5³)⁹÷5¹² is simplified to 5^15
<h3>What are index forms?</h3>
Index forms are defined as the exponent or power of a number or variables.
It is also seen as a mathematical method of writing numbers that are too large or too small in simpler forms.
The laws of exponents are;
- Add the powers when they are being multiplied the bases are the same
- Subtract the exponents when they are divided and have the same base.
- Multiply the exponents when the bases are the same
Given the expression;
(5³)⁹÷5¹²
This is represented as;
(5³)⁹/5¹²
expand the bracket
5^27/5^12
Take the inverse exponent of the denominator
5^27-12
5^15
Thus, the simplified form is 5^15
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Answer:
x = 22
Step-by-step explanation:
6x + 48 = 180
6x = 132
X = 22
When we add odd numbers:
1 = 1
1 + 3 = 4
1 + 3 + 5 = 9
...
Notice that the sum of n terms is n²
* This is because an odd number is expressed as 2n-1, we would need to get the sum of all 2n-1 substituting the value from 1 to n. (This is summation)
So we would have 2(1+2+3+...+n) - n = 2[n(n+1)/2] - n = n(n+1) - n = n(n+1-1) = n²
So:
Sum of n terms = 961
Sum of n terms = 31² = n²
n = 31
There are 31 terms in the arithmetic sequence
ALL CREDIT GOES TO mlcparra16
***NOT MY WORK
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