simplify (-4x^4)^2

Solution

simplify

(- 4 x^{4})^{2}

16 x^{8}

Solution steps

(- 4 x^{4})^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- 4 x^{4})^{2} = (4 x^{4})^{2}

= (4 x^{4})^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(4 x^{4})^{2} = 4^{2} (x^{4})^{2}

= 4^{2} (x^{4})^{2}

4^{2} = 16

= 16 (x^{4})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

(x^{4})^{2} = x^{4 \cdot 2}

= 16 x^{4 \cdot 2}

Multiply the numbers:

4 \cdot 2 = 8

= 16 x^{8}

\frac{( 2 ^{x + 5} - 4 \cdot 2 ^{x} )}{( 16 \cdot 2 ^{x + 2} - 2 ^{x + 3} )}

(a - 1) \cdot (a + 1) \cdot (a^{2} + a + 1) \cdot (a^{2} - a + 1)

2130829 k^{1} - 18041807671

3 sin^{2} (a) + 3 cos^{2} (a)

36 p^{2} + 84 p + 49