Solve ་ ་ 3*(a^ * h^ 3 j^ 6 )(a^ 4 h^ 6 j^ 8 d= | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$3 \cdot ( a ^ { 5 } n ^ { 5 } j ^ { 6 } ) ( a ^ { 4 } n ^ { 6 } ) ^ { 8 } d =$$

Evaluate

$3dj^{6}a^{37}n^{53}$

Solution Steps

Expand $\left(a^{4}n^{6}\right)^{8}$.

$$3a^{5}n^{5}j^{6}\left(a^{4}\right)^{8}\left(n^{6}\right)^{8}d$$

To raise a power to another power, multiply the exponents. Multiply $4$ and $8$ to get $32$.

$$3a^{5}n^{5}j^{6}a^{32}\left(n^{6}\right)^{8}d$$

To raise a power to another power, multiply the exponents. Multiply $6$ and $8$ to get $48$.

$$3a^{5}n^{5}j^{6}a^{32}n^{48}d$$

To multiply powers of the same base, add their exponents. Add $5$ and $32$ to get $37$.

$$3a^{37}n^{5}j^{6}n^{48}d$$

To multiply powers of the same base, add their exponents. Add $5$ and $48$ to get $53$.

$$3a^{37}n^{53}j^{6}d$$

Expand

$3dj^{6}a^{37}n^{53}$

Solution Steps

Expand $\left(a^{4}n^{6}\right)^{8}$.

$$3a^{5}n^{5}j^{6}\left(a^{4}\right)^{8}\left(n^{6}\right)^{8}d$$

To raise a power to another power, multiply the exponents. Multiply $4$ and $8$ to get $32$.

$$3a^{5}n^{5}j^{6}a^{32}\left(n^{6}\right)^{8}d$$

To raise a power to another power, multiply the exponents. Multiply $6$ and $8$ to get $48$.

$$3a^{5}n^{5}j^{6}a^{32}n^{48}d$$

To multiply powers of the same base, add their exponents. Add $5$ and $32$ to get $37$.

$$3a^{37}n^{5}j^{6}n^{48}d$$

To multiply powers of the same base, add their exponents. Add $5$ and $48$ to get $53$.

$$3a^{37}n^{53}j^{6}d$$