Answer :
To find the cube root of [tex]\( 8x^{27} \)[/tex], we will tackle each part separately.
1. Cube Root of the Number:
The number given is 8. The cube root of 8 is 2 because [tex]\( 2^3 = 8 \)[/tex].
2. Cube Root of the Variable Part:
The expression contains the term [tex]\( x^{27} \)[/tex]. We need to find the cube root of this term. When finding the cube root of an expression with an exponent, we divide the exponent by 3.
Therefore, the cube root of [tex]\( x^{27} \)[/tex] is [tex]\( x^{27/3} = x^9 \)[/tex].
3. Combine the Results:
Now, combine the results from the cube root of the number and the cube root of the variable part. The cube root of [tex]\( 8x^{27} \)[/tex] is [tex]\( 2 \times x^9 \)[/tex].
So, the cube root of [tex]\( 8x^{27} \)[/tex] is [tex]\( 2x^9 \)[/tex].
1. Cube Root of the Number:
The number given is 8. The cube root of 8 is 2 because [tex]\( 2^3 = 8 \)[/tex].
2. Cube Root of the Variable Part:
The expression contains the term [tex]\( x^{27} \)[/tex]. We need to find the cube root of this term. When finding the cube root of an expression with an exponent, we divide the exponent by 3.
Therefore, the cube root of [tex]\( x^{27} \)[/tex] is [tex]\( x^{27/3} = x^9 \)[/tex].
3. Combine the Results:
Now, combine the results from the cube root of the number and the cube root of the variable part. The cube root of [tex]\( 8x^{27} \)[/tex] is [tex]\( 2 \times x^9 \)[/tex].
So, the cube root of [tex]\( 8x^{27} \)[/tex] is [tex]\( 2x^9 \)[/tex].
