Which expression is equivalent to [4x4(2x3)]2?
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Given:
[4x⁴(2x³)]²
To find:
Expression equivalent to [4x⁴(2x³)]²
Solution:
The given expression is -
[ 4x⁴(2x³)]²
by solving, we can find the equivalent expression of given expression.
Firstly, solve 4x⁴(2x³) expression
by solving this we get
4x⁴(2x³) = 4×2(x⁴ × x³)
now power of x get multiplied, thus we get
= 8(x¹²)
now solve [8x¹²]² , we get
(8)²(x¹²)² = 64 × x²⁴
= 2⁶x²⁴
Therefore, [4x⁴(2x³)]² = 2⁶x²⁴
Hence, this is the required equivalent expression.
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